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Finding the Fourth Proportional to 8,572.79, 12,864.04 and 3,382.31

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Solution

The fourth proportional to 8,572.79, 12,864.04 and 3,382.31 is: 5,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.79 : 12,864.04 = 3,382.31 : x
  2. Step 2: Convert to fraction form
    8,572.79/12,864.04 = 3,382.31/x
  3. Step 3: Cross multiply
    8,572.79x = 12,864.04 × 3,382.31
  4. Step 4: Simplify right side
    8,572.79x = 43,510,171.13
  5. Step 5: Solve for x
    x = 43,510,171.13/8,572.79
  6. Step 6: Final answer
    x = 5,075.38

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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.