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Finding the Fourth Proportional to 11,140.70, 15,373.77 and 6,104.78

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Solution

The fourth proportional to 11,140.70, 15,373.77 and 6,104.78 is: 8,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.70 : 15,373.77 = 6,104.78 : x
  2. Step 2: Convert to fraction form
    11,140.70/15,373.77 = 6,104.78/x
  3. Step 3: Cross multiply
    11,140.70x = 15,373.77 × 6,104.78
  4. Step 4: Simplify right side
    11,140.70x = 93,853,483.62
  5. Step 5: Solve for x
    x = 93,853,483.62/11,140.70
  6. Step 6: Final answer
    x = 8,424.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.