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Finding the Fourth Proportional to 43,761.12, 65,632.08 and 12,588

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Solution

The fourth proportional to 43,761.12, 65,632.08 and 12,588 is: 18,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,761.12 : 65,632.08 = 12,588 : x
  2. Step 2: Convert to fraction form
    43,761.12/65,632.08 = 12,588/x
  3. Step 3: Cross multiply
    43,761.12x = 65,632.08 × 12,588
  4. Step 4: Simplify right side
    43,761.12x = 826,176,623.04
  5. Step 5: Solve for x
    x = 826,176,623.04/43,761.12
  6. Step 6: Final answer
    x = 18,879.24

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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.