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Finding the Fourth Proportional to 10,438.52, 15,661.20 and 3,865.22

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Solution

The fourth proportional to 10,438.52, 15,661.20 and 3,865.22 is: 5,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.52 : 15,661.20 = 3,865.22 : x
  2. Step 2: Convert to fraction form
    10,438.52/15,661.20 = 3,865.22/x
  3. Step 3: Cross multiply
    10,438.52x = 15,661.20 × 3,865.22
  4. Step 4: Simplify right side
    10,438.52x = 60,533,983.46
  5. Step 5: Solve for x
    x = 60,533,983.46/10,438.52
  6. Step 6: Final answer
    x = 5,799.10

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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.