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Finding the Fourth Proportional to 43,829.60, 65,760.60 and 14,248.40

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Solution

The fourth proportional to 43,829.60, 65,760.60 and 14,248.40 is: 21,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,829.60 : 65,760.60 = 14,248.40 : x
  2. Step 2: Convert to fraction form
    43,829.60/65,760.60 = 14,248.40/x
  3. Step 3: Cross multiply
    43,829.60x = 65,760.60 × 14,248.40
  4. Step 4: Simplify right side
    43,829.60x = 936,983,333.04
  5. Step 5: Solve for x
    x = 936,983,333.04/43,829.60
  6. Step 6: Final answer
    x = 21,377.87

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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.