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Finding the Fourth Proportional to 43,898.64, 65,862.75 and 13,917.78

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Solution

The fourth proportional to 43,898.64, 65,862.75 and 13,917.78 is: 20,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,898.64 : 65,862.75 = 13,917.78 : x
  2. Step 2: Convert to fraction form
    43,898.64/65,862.75 = 13,917.78/x
  3. Step 3: Cross multiply
    43,898.64x = 65,862.75 × 13,917.78
  4. Step 4: Simplify right side
    43,898.64x = 916,663,264.70
  5. Step 5: Solve for x
    x = 916,663,264.70/43,898.64
  6. Step 6: Final answer
    x = 20,881.36

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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.