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Finding the Fourth Proportional to 17,154.60, 25,712.70 and 8,831.40

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Solution

The fourth proportional to 17,154.60, 25,712.70 and 8,831.40 is: 13,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.60 : 25,712.70 = 8,831.40 : x
  2. Step 2: Convert to fraction form
    17,154.60/25,712.70 = 8,831.40/x
  3. Step 3: Cross multiply
    17,154.60x = 25,712.70 × 8,831.40
  4. Step 4: Simplify right side
    17,154.60x = 227,079,138.78
  5. Step 5: Solve for x
    x = 227,079,138.78/17,154.60
  6. Step 6: Final answer
    x = 13,237.22

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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.