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Finding the Fourth Proportional to 8,802.78, 13,207.95 and 5,842.26

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Solution

The fourth proportional to 8,802.78, 13,207.95 and 5,842.26 is: 8,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.78 : 13,207.95 = 5,842.26 : x
  2. Step 2: Convert to fraction form
    8,802.78/13,207.95 = 5,842.26/x
  3. Step 3: Cross multiply
    8,802.78x = 13,207.95 × 5,842.26
  4. Step 4: Simplify right side
    8,802.78x = 77,164,277.97
  5. Step 5: Solve for x
    x = 77,164,277.97/8,802.78
  6. Step 6: Final answer
    x = 8,765.90

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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.