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Finding the Fourth Proportional to 10,158, 15,200.08 and 8,386.56

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Solution

The fourth proportional to 10,158, 15,200.08 and 8,386.56 is: 12,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158 : 15,200.08 = 8,386.56 : x
  2. Step 2: Convert to fraction form
    10,158/15,200.08 = 8,386.56/x
  3. Step 3: Cross multiply
    10,158x = 15,200.08 × 8,386.56
  4. Step 4: Simplify right side
    10,158x = 127,476,382.92
  5. Step 5: Solve for x
    x = 127,476,382.92/10,158
  6. Step 6: Final answer
    x = 12,549.36

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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.