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Finding the Fourth Proportional to 10,964.80, 16,442.40 and 4,388.80

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Solution

The fourth proportional to 10,964.80, 16,442.40 and 4,388.80 is: 6,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.80 : 16,442.40 = 4,388.80 : x
  2. Step 2: Convert to fraction form
    10,964.80/16,442.40 = 4,388.80/x
  3. Step 3: Cross multiply
    10,964.80x = 16,442.40 × 4,388.80
  4. Step 4: Simplify right side
    10,964.80x = 72,162,405.12
  5. Step 5: Solve for x
    x = 72,162,405.12/10,964.80
  6. Step 6: Final answer
    x = 6,581.28

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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.