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Finding the Fourth Proportional to 8,760, 12,089.92 and 5,782.04

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Solution

The fourth proportional to 8,760, 12,089.92 and 5,782.04 is: 7,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760 : 12,089.92 = 5,782.04 : x
  2. Step 2: Convert to fraction form
    8,760/12,089.92 = 5,782.04/x
  3. Step 3: Cross multiply
    8,760x = 12,089.92 × 5,782.04
  4. Step 4: Simplify right side
    8,760x = 69,904,326.13
  5. Step 5: Solve for x
    x = 69,904,326.13/8,760
  6. Step 6: Final answer
    x = 7,979.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.