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Finding the Fourth Proportional to 8,547.26, 11,791.92 and 5,355

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Solution

The fourth proportional to 8,547.26, 11,791.92 and 5,355 is: 7,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.26 : 11,791.92 = 5,355 : x
  2. Step 2: Convert to fraction form
    8,547.26/11,791.92 = 5,355/x
  3. Step 3: Cross multiply
    8,547.26x = 11,791.92 × 5,355
  4. Step 4: Simplify right side
    8,547.26x = 63,145,731.60
  5. Step 5: Solve for x
    x = 63,145,731.60/8,547.26
  6. Step 6: Final answer
    x = 7,387.83

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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.