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Finding the Fourth Proportional to 10,400.90, 15,602.70 and 5,138.60

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Solution

The fourth proportional to 10,400.90, 15,602.70 and 5,138.60 is: 7,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.90 : 15,602.70 = 5,138.60 : x
  2. Step 2: Convert to fraction form
    10,400.90/15,602.70 = 5,138.60/x
  3. Step 3: Cross multiply
    10,400.90x = 15,602.70 × 5,138.60
  4. Step 4: Simplify right side
    10,400.90x = 80,176,034.22
  5. Step 5: Solve for x
    x = 80,176,034.22/10,400.90
  6. Step 6: Final answer
    x = 7,708.57

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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.