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Finding the Fourth Proportional to 10,534.54, 15,801.80 and 3,138.80

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Solution

The fourth proportional to 10,534.54, 15,801.80 and 3,138.80 is: 4,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.54 : 15,801.80 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    10,534.54/15,801.80 = 3,138.80/x
  3. Step 3: Cross multiply
    10,534.54x = 15,801.80 × 3,138.80
  4. Step 4: Simplify right side
    10,534.54x = 49,598,674.15
  5. Step 5: Solve for x
    x = 49,598,674.15/10,534.54
  6. Step 6: Final answer
    x = 4,708.20

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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.