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Finding the Fourth Proportional to 10,449.85, 15,675 and 2,658.66

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Solution

The fourth proportional to 10,449.85, 15,675 and 2,658.66 is: 3,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.85 : 15,675 = 2,658.66 : x
  2. Step 2: Convert to fraction form
    10,449.85/15,675 = 2,658.66/x
  3. Step 3: Cross multiply
    10,449.85x = 15,675 × 2,658.66
  4. Step 4: Simplify right side
    10,449.85x = 41,674,495.50
  5. Step 5: Solve for x
    x = 41,674,495.50/10,449.85
  6. Step 6: Final answer
    x = 3,988.05

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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.