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Finding the Fourth Proportional to 3,057.40, 4,586.10 and 866.10

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Solution

The fourth proportional to 3,057.40, 4,586.10 and 866.10 is: 1,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.40 : 4,586.10 = 866.10 : x
  2. Step 2: Convert to fraction form
    3,057.40/4,586.10 = 866.10/x
  3. Step 3: Cross multiply
    3,057.40x = 4,586.10 × 866.10
  4. Step 4: Simplify right side
    3,057.40x = 3,972,021.21
  5. Step 5: Solve for x
    x = 3,972,021.21/3,057.40
  6. Step 6: Final answer
    x = 1,299.15

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.