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Finding the Fourth Proportional to 9,901.76, 13,669.40 and 7,658.56

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Solution

The fourth proportional to 9,901.76, 13,669.40 and 7,658.56 is: 10,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.76 : 13,669.40 = 7,658.56 : x
  2. Step 2: Convert to fraction form
    9,901.76/13,669.40 = 7,658.56/x
  3. Step 3: Cross multiply
    9,901.76x = 13,669.40 × 7,658.56
  4. Step 4: Simplify right side
    9,901.76x = 104,687,920.06
  5. Step 5: Solve for x
    x = 104,687,920.06/9,901.76
  6. Step 6: Final answer
    x = 10,572.66

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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.