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Finding the Fourth Proportional to 10,310.28, 15,438 and 7,029.84

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Solution

The fourth proportional to 10,310.28, 15,438 and 7,029.84 is: 10,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.28 : 15,438 = 7,029.84 : x
  2. Step 2: Convert to fraction form
    10,310.28/15,438 = 7,029.84/x
  3. Step 3: Cross multiply
    10,310.28x = 15,438 × 7,029.84
  4. Step 4: Simplify right side
    10,310.28x = 108,526,669.92
  5. Step 5: Solve for x
    x = 108,526,669.92/10,310.28
  6. Step 6: Final answer
    x = 10,526.06

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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.