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Finding the Fourth Proportional to 8,807.38, 13,142.75 and 7,872.64

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Solution

The fourth proportional to 8,807.38, 13,142.75 and 7,872.64 is: 11,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,807.38 : 13,142.75 = 7,872.64 : x
  2. Step 2: Convert to fraction form
    8,807.38/13,142.75 = 7,872.64/x
  3. Step 3: Cross multiply
    8,807.38x = 13,142.75 × 7,872.64
  4. Step 4: Simplify right side
    8,807.38x = 103,468,139.36
  5. Step 5: Solve for x
    x = 103,468,139.36/8,807.38
  6. Step 6: Final answer
    x = 11,747.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.