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Finding the Fourth Proportional to 15,380, 23,070 and 5,519.88

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Solution

The fourth proportional to 15,380, 23,070 and 5,519.88 is: 8,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380 : 23,070 = 5,519.88 : x
  2. Step 2: Convert to fraction form
    15,380/23,070 = 5,519.88/x
  3. Step 3: Cross multiply
    15,380x = 23,070 × 5,519.88
  4. Step 4: Simplify right side
    15,380x = 127,343,631.60
  5. Step 5: Solve for x
    x = 127,343,631.60/15,380
  6. Step 6: Final answer
    x = 8,279.82

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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.