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Finding the Fourth Proportional to 8,802.40, 13,184.40 and 6,839.20

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Solution

The fourth proportional to 8,802.40, 13,184.40 and 6,839.20 is: 10,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.40 : 13,184.40 = 6,839.20 : x
  2. Step 2: Convert to fraction form
    8,802.40/13,184.40 = 6,839.20/x
  3. Step 3: Cross multiply
    8,802.40x = 13,184.40 × 6,839.20
  4. Step 4: Simplify right side
    8,802.40x = 90,170,748.48
  5. Step 5: Solve for x
    x = 90,170,748.48/8,802.40
  6. Step 6: Final answer
    x = 10,243.88

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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.