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Finding the Fourth Proportional to 10,503.39, 15,755.70 and 2,712

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Solution

The fourth proportional to 10,503.39, 15,755.70 and 2,712 is: 4,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.39 : 15,755.70 = 2,712 : x
  2. Step 2: Convert to fraction form
    10,503.39/15,755.70 = 2,712/x
  3. Step 3: Cross multiply
    10,503.39x = 15,755.70 × 2,712
  4. Step 4: Simplify right side
    10,503.39x = 42,729,458.40
  5. Step 5: Solve for x
    x = 42,729,458.40/10,503.39
  6. Step 6: Final answer
    x = 4,068.16

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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.