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Finding the Fourth Proportional to 2,613.12, 3,915.63 and 1,518

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Solution

The fourth proportional to 2,613.12, 3,915.63 and 1,518 is: 2,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.12 : 3,915.63 = 1,518 : x
  2. Step 2: Convert to fraction form
    2,613.12/3,915.63 = 1,518/x
  3. Step 3: Cross multiply
    2,613.12x = 3,915.63 × 1,518
  4. Step 4: Simplify right side
    2,613.12x = 5,943,926.34
  5. Step 5: Solve for x
    x = 5,943,926.34/2,613.12
  6. Step 6: Final answer
    x = 2,274.65

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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.