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Finding the Fourth Proportional to 10,344.76, 14,250.68 and 7,687.56

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Solution

The fourth proportional to 10,344.76, 14,250.68 and 7,687.56 is: 10,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.76 : 14,250.68 = 7,687.56 : x
  2. Step 2: Convert to fraction form
    10,344.76/14,250.68 = 7,687.56/x
  3. Step 3: Cross multiply
    10,344.76x = 14,250.68 × 7,687.56
  4. Step 4: Simplify right side
    10,344.76x = 109,552,957.54
  5. Step 5: Solve for x
    x = 109,552,957.54/10,344.76
  6. Step 6: Final answer
    x = 10,590.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.