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Finding the Fourth Proportional to 10,400.40, 15,601.95 and 5,138.10

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Solution

The fourth proportional to 10,400.40, 15,601.95 and 5,138.10 is: 7,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.40 : 15,601.95 = 5,138.10 : x
  2. Step 2: Convert to fraction form
    10,400.40/15,601.95 = 5,138.10/x
  3. Step 3: Cross multiply
    10,400.40x = 15,601.95 × 5,138.10
  4. Step 4: Simplify right side
    10,400.40x = 80,164,379.30
  5. Step 5: Solve for x
    x = 80,164,379.30/10,400.40
  6. Step 6: Final answer
    x = 7,707.82

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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.