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Finding the Fourth Proportional to 8,964.80, 13,448.40 and 3,123.20

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Solution

The fourth proportional to 8,964.80, 13,448.40 and 3,123.20 is: 4,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.80 : 13,448.40 = 3,123.20 : x
  2. Step 2: Convert to fraction form
    8,964.80/13,448.40 = 3,123.20/x
  3. Step 3: Cross multiply
    8,964.80x = 13,448.40 × 3,123.20
  4. Step 4: Simplify right side
    8,964.80x = 42,002,042.88
  5. Step 5: Solve for x
    x = 42,002,042.88/8,964.80
  6. Step 6: Final answer
    x = 4,685.22

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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.