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Finding the Fourth Proportional to 43,686.50, 65,529.78 and 10,854.50

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Solution

The fourth proportional to 43,686.50, 65,529.78 and 10,854.50 is: 16,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,686.50 : 65,529.78 = 10,854.50 : x
  2. Step 2: Convert to fraction form
    43,686.50/65,529.78 = 10,854.50/x
  3. Step 3: Cross multiply
    43,686.50x = 65,529.78 × 10,854.50
  4. Step 4: Simplify right side
    43,686.50x = 711,292,997.01
  5. Step 5: Solve for x
    x = 711,292,997.01/43,686.50
  6. Step 6: Final answer
    x = 16,281.76

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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.