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Finding the Fourth Proportional to 10,433.74, 15,642.48 and 5,165.11

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Solution

The fourth proportional to 10,433.74, 15,642.48 and 5,165.11 is: 7,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.74 : 15,642.48 = 5,165.11 : x
  2. Step 2: Convert to fraction form
    10,433.74/15,642.48 = 5,165.11/x
  3. Step 3: Cross multiply
    10,433.74x = 15,642.48 × 5,165.11
  4. Step 4: Simplify right side
    10,433.74x = 80,795,129.87
  5. Step 5: Solve for x
    x = 80,795,129.87/10,433.74
  6. Step 6: Final answer
    x = 7,743.64

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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.