Home / 10,538.80-15,809.10-3,142.78

Finding the Fourth Proportional to 10,538.80, 15,809.10 and 3,142.78

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Solution

The fourth proportional to 10,538.80, 15,809.10 and 3,142.78 is: 4,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.80 : 15,809.10 = 3,142.78 : x
  2. Step 2: Convert to fraction form
    10,538.80/15,809.10 = 3,142.78/x
  3. Step 3: Cross multiply
    10,538.80x = 15,809.10 × 3,142.78
  4. Step 4: Simplify right side
    10,538.80x = 49,684,523.30
  5. Step 5: Solve for x
    x = 49,684,523.30/10,538.80
  6. Step 6: Final answer
    x = 4,714.44

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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.