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Finding the Fourth Proportional to 9,897.86, 13,654.10 and 5,917.92

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Solution

The fourth proportional to 9,897.86, 13,654.10 and 5,917.92 is: 8,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.86 : 13,654.10 = 5,917.92 : x
  2. Step 2: Convert to fraction form
    9,897.86/13,654.10 = 5,917.92/x
  3. Step 3: Cross multiply
    9,897.86x = 13,654.10 × 5,917.92
  4. Step 4: Simplify right side
    9,897.86x = 80,803,871.47
  5. Step 5: Solve for x
    x = 80,803,871.47/9,897.86
  6. Step 6: Final answer
    x = 8,163.77

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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.