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Finding the Fourth Proportional to 9,901.78, 13,663.76 and 5,652.99

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Solution

The fourth proportional to 9,901.78, 13,663.76 and 5,652.99 is: 7,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.78 : 13,663.76 = 5,652.99 : x
  2. Step 2: Convert to fraction form
    9,901.78/13,663.76 = 5,652.99/x
  3. Step 3: Cross multiply
    9,901.78x = 13,663.76 × 5,652.99
  4. Step 4: Simplify right side
    9,901.78x = 77,241,070.38
  5. Step 5: Solve for x
    x = 77,241,070.38/9,901.78
  6. Step 6: Final answer
    x = 7,800.73

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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.