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Finding the Fourth Proportional to 8,802.71, 13,206.23 and 2,562.78

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Solution

The fourth proportional to 8,802.71, 13,206.23 and 2,562.78 is: 3,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.71 : 13,206.23 = 2,562.78 : x
  2. Step 2: Convert to fraction form
    8,802.71/13,206.23 = 2,562.78/x
  3. Step 3: Cross multiply
    8,802.71x = 13,206.23 × 2,562.78
  4. Step 4: Simplify right side
    8,802.71x = 33,844,597.01
  5. Step 5: Solve for x
    x = 33,844,597.01/8,802.71
  6. Step 6: Final answer
    x = 3,844.79

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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.