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Finding the Fourth Proportional to 4,972.26, 7,494.14 and 4,287.20

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Solution

The fourth proportional to 4,972.26, 7,494.14 and 4,287.20 is: 6,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.26 : 7,494.14 = 4,287.20 : x
  2. Step 2: Convert to fraction form
    4,972.26/7,494.14 = 4,287.20/x
  3. Step 3: Cross multiply
    4,972.26x = 7,494.14 × 4,287.20
  4. Step 4: Simplify right side
    4,972.26x = 32,128,877.01
  5. Step 5: Solve for x
    x = 32,128,877.01/4,972.26
  6. Step 6: Final answer
    x = 6,461.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.