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Finding the Fourth Proportional to 17,111.70, 25,631.10 and 13,831.20

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Solution

The fourth proportional to 17,111.70, 25,631.10 and 13,831.20 is: 20,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.70 : 25,631.10 = 13,831.20 : x
  2. Step 2: Convert to fraction form
    17,111.70/25,631.10 = 13,831.20/x
  3. Step 3: Cross multiply
    17,111.70x = 25,631.10 × 13,831.20
  4. Step 4: Simplify right side
    17,111.70x = 354,508,870.32
  5. Step 5: Solve for x
    x = 354,508,870.32/17,111.70
  6. Step 6: Final answer
    x = 20,717.34

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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.