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Finding the Fourth Proportional to 11,831.35, 17,710.11 and 8,714.87

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Solution

The fourth proportional to 11,831.35, 17,710.11 and 8,714.87 is: 13,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.35 : 17,710.11 = 8,714.87 : x
  2. Step 2: Convert to fraction form
    11,831.35/17,710.11 = 8,714.87/x
  3. Step 3: Cross multiply
    11,831.35x = 17,710.11 × 8,714.87
  4. Step 4: Simplify right side
    11,831.35x = 154,341,306.34
  5. Step 5: Solve for x
    x = 154,341,306.34/11,831.35
  6. Step 6: Final answer
    x = 13,045.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.