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Finding the Fourth Proportional to 10,969.32, 15,140.32 and 6,723.30

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Solution

The fourth proportional to 10,969.32, 15,140.32 and 6,723.30 is: 9,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.32 : 15,140.32 = 6,723.30 : x
  2. Step 2: Convert to fraction form
    10,969.32/15,140.32 = 6,723.30/x
  3. Step 3: Cross multiply
    10,969.32x = 15,140.32 × 6,723.30
  4. Step 4: Simplify right side
    10,969.32x = 101,792,953.42
  5. Step 5: Solve for x
    x = 101,792,953.42/10,969.32
  6. Step 6: Final answer
    x = 9,279.78

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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.