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Finding the Fourth Proportional to 10,150, 15,143.12 and 9,041.92

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Solution

The fourth proportional to 10,150, 15,143.12 and 9,041.92 is: 13,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150 : 15,143.12 = 9,041.92 : x
  2. Step 2: Convert to fraction form
    10,150/15,143.12 = 9,041.92/x
  3. Step 3: Cross multiply
    10,150x = 15,143.12 × 9,041.92
  4. Step 4: Simplify right side
    10,150x = 136,922,879.59
  5. Step 5: Solve for x
    x = 136,922,879.59/10,150
  6. Step 6: Final answer
    x = 13,489.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.