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Finding the Fourth Proportional to 9,811.38, 13,534.22 and 6,031.92

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Solution

The fourth proportional to 9,811.38, 13,534.22 and 6,031.92 is: 8,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.38 : 13,534.22 = 6,031.92 : x
  2. Step 2: Convert to fraction form
    9,811.38/13,534.22 = 6,031.92/x
  3. Step 3: Cross multiply
    9,811.38x = 13,534.22 × 6,031.92
  4. Step 4: Simplify right side
    9,811.38x = 81,637,332.30
  5. Step 5: Solve for x
    x = 81,637,332.30/9,811.38
  6. Step 6: Final answer
    x = 8,320.68

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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.