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Finding the Fourth Proportional to 10,609.81, 15,978.19 and 9,663.98

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Solution

The fourth proportional to 10,609.81, 15,978.19 and 9,663.98 is: 14,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.81 : 15,978.19 = 9,663.98 : x
  2. Step 2: Convert to fraction form
    10,609.81/15,978.19 = 9,663.98/x
  3. Step 3: Cross multiply
    10,609.81x = 15,978.19 × 9,663.98
  4. Step 4: Simplify right side
    10,609.81x = 154,412,932.76
  5. Step 5: Solve for x
    x = 154,412,932.76/10,609.81
  6. Step 6: Final answer
    x = 14,553.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.