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Finding the Fourth Proportional to 10,449.92, 15,675 and 2,658.74

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Solution

The fourth proportional to 10,449.92, 15,675 and 2,658.74 is: 3,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.92 : 15,675 = 2,658.74 : x
  2. Step 2: Convert to fraction form
    10,449.92/15,675 = 2,658.74/x
  3. Step 3: Cross multiply
    10,449.92x = 15,675 × 2,658.74
  4. Step 4: Simplify right side
    10,449.92x = 41,675,749.50
  5. Step 5: Solve for x
    x = 41,675,749.50/10,449.92
  6. Step 6: Final answer
    x = 3,988.14

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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.