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Finding the Fourth Proportional to 10,888.16, 16,332.24 and 7,769.63

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Solution

The fourth proportional to 10,888.16, 16,332.24 and 7,769.63 is: 11,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.16 : 16,332.24 = 7,769.63 : x
  2. Step 2: Convert to fraction form
    10,888.16/16,332.24 = 7,769.63/x
  3. Step 3: Cross multiply
    10,888.16x = 16,332.24 × 7,769.63
  4. Step 4: Simplify right side
    10,888.16x = 126,895,461.87
  5. Step 5: Solve for x
    x = 126,895,461.87/10,888.16
  6. Step 6: Final answer
    x = 11,654.45

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Similar ratio
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1.5x scale

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.