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Finding the Fourth Proportional to 10,963.69, 15,129.38 and 6,184.49

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Solution

The fourth proportional to 10,963.69, 15,129.38 and 6,184.49 is: 8,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.69 : 15,129.38 = 6,184.49 : x
  2. Step 2: Convert to fraction form
    10,963.69/15,129.38 = 6,184.49/x
  3. Step 3: Cross multiply
    10,963.69x = 15,129.38 × 6,184.49
  4. Step 4: Simplify right side
    10,963.69x = 93,567,439.13
  5. Step 5: Solve for x
    x = 93,567,439.13/10,963.69
  6. Step 6: Final answer
    x = 8,534.30

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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.