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Finding the Fourth Proportional to 3,031.42, 4,546.99 and 840.10

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Solution

The fourth proportional to 3,031.42, 4,546.99 and 840.10 is: 1,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.42 : 4,546.99 = 840.10 : x
  2. Step 2: Convert to fraction form
    3,031.42/4,546.99 = 840.10/x
  3. Step 3: Cross multiply
    3,031.42x = 4,546.99 × 840.10
  4. Step 4: Simplify right side
    3,031.42x = 3,819,926.30
  5. Step 5: Solve for x
    x = 3,819,926.30/3,031.42
  6. Step 6: Final answer
    x = 1,260.11

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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.