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Finding the Fourth Proportional to 43,938.50, 65,894.12 and 15,854.90

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Solution

The fourth proportional to 43,938.50, 65,894.12 and 15,854.90 is: 23,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,938.50 : 65,894.12 = 15,854.90 : x
  2. Step 2: Convert to fraction form
    43,938.50/65,894.12 = 15,854.90/x
  3. Step 3: Cross multiply
    43,938.50x = 65,894.12 × 15,854.90
  4. Step 4: Simplify right side
    43,938.50x = 1,044,744,683.19
  5. Step 5: Solve for x
    x = 1,044,744,683.19/43,938.50
  6. Step 6: Final answer
    x = 23,777.43

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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.