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Finding the Fourth Proportional to 3,057.45, 4,585.97 and 866.07

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Solution

The fourth proportional to 3,057.45, 4,585.97 and 866.07 is: 1,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.45 : 4,585.97 = 866.07 : x
  2. Step 2: Convert to fraction form
    3,057.45/4,585.97 = 866.07/x
  3. Step 3: Cross multiply
    3,057.45x = 4,585.97 × 866.07
  4. Step 4: Simplify right side
    3,057.45x = 3,971,766.71
  5. Step 5: Solve for x
    x = 3,971,766.71/3,057.45
  6. Step 6: Final answer
    x = 1,299.05

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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.