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Finding the Fourth Proportional to 10,489.97, 15,735.11 and 2,698.79

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Solution

The fourth proportional to 10,489.97, 15,735.11 and 2,698.79 is: 4,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.97 : 15,735.11 = 2,698.79 : x
  2. Step 2: Convert to fraction form
    10,489.97/15,735.11 = 2,698.79/x
  3. Step 3: Cross multiply
    10,489.97x = 15,735.11 × 2,698.79
  4. Step 4: Simplify right side
    10,489.97x = 42,465,665.35
  5. Step 5: Solve for x
    x = 42,465,665.35/10,489.97
  6. Step 6: Final answer
    x = 4,048.22

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1.5x scale

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.