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Finding the Fourth Proportional to 10,265.90, 15,398.87 and 3,340.40

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Solution

The fourth proportional to 10,265.90, 15,398.87 and 3,340.40 is: 5,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.90 : 15,398.87 = 3,340.40 : x
  2. Step 2: Convert to fraction form
    10,265.90/15,398.87 = 3,340.40/x
  3. Step 3: Cross multiply
    10,265.90x = 15,398.87 × 3,340.40
  4. Step 4: Simplify right side
    10,265.90x = 51,438,291.65
  5. Step 5: Solve for x
    x = 51,438,291.65/10,265.90
  6. Step 6: Final answer
    x = 5,010.60

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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.