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Finding the Fourth Proportional to 8,802.33, 13,172.04 and 7,645.97

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Solution

The fourth proportional to 8,802.33, 13,172.04 and 7,645.97 is: 11,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.33 : 13,172.04 = 7,645.97 : x
  2. Step 2: Convert to fraction form
    8,802.33/13,172.04 = 7,645.97/x
  3. Step 3: Cross multiply
    8,802.33x = 13,172.04 × 7,645.97
  4. Step 4: Simplify right side
    8,802.33x = 100,712,956.82
  5. Step 5: Solve for x
    x = 100,712,956.82/8,802.33
  6. Step 6: Final answer
    x = 11,441.62

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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.