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Finding the Fourth Proportional to 23,117.86, 31,900.80 and 14,164.13

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Solution

The fourth proportional to 23,117.86, 31,900.80 and 14,164.13 is: 19,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.86 : 31,900.80 = 14,164.13 : x
  2. Step 2: Convert to fraction form
    23,117.86/31,900.80 = 14,164.13/x
  3. Step 3: Cross multiply
    23,117.86x = 31,900.80 × 14,164.13
  4. Step 4: Simplify right side
    23,117.86x = 451,847,211.17
  5. Step 5: Solve for x
    x = 451,847,211.17/23,117.86
  6. Step 6: Final answer
    x = 19,545.38

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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.