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Finding the Fourth Proportional to 21,002.40, 31,503.60 and 7,151.40

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Solution

The fourth proportional to 21,002.40, 31,503.60 and 7,151.40 is: 10,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.40 : 31,503.60 = 7,151.40 : x
  2. Step 2: Convert to fraction form
    21,002.40/31,503.60 = 7,151.40/x
  3. Step 3: Cross multiply
    21,002.40x = 31,503.60 × 7,151.40
  4. Step 4: Simplify right side
    21,002.40x = 225,294,845.04
  5. Step 5: Solve for x
    x = 225,294,845.04/21,002.40
  6. Step 6: Final answer
    x = 10,727.10

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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.