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Finding the Fourth Proportional to 43,703.60, 65,557.84 and 12,538

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Solution

The fourth proportional to 43,703.60, 65,557.84 and 12,538 is: 18,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,703.60 : 65,557.84 = 12,538 : x
  2. Step 2: Convert to fraction form
    43,703.60/65,557.84 = 12,538/x
  3. Step 3: Cross multiply
    43,703.60x = 65,557.84 × 12,538
  4. Step 4: Simplify right side
    43,703.60x = 821,964,197.92
  5. Step 5: Solve for x
    x = 821,964,197.92/43,703.60
  6. Step 6: Final answer
    x = 18,807.70

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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.