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Finding the Fourth Proportional to 2,618.92, 3,613.96 and 1,440

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Solution

The fourth proportional to 2,618.92, 3,613.96 and 1,440 is: 1,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.92 : 3,613.96 = 1,440 : x
  2. Step 2: Convert to fraction form
    2,618.92/3,613.96 = 1,440/x
  3. Step 3: Cross multiply
    2,618.92x = 3,613.96 × 1,440
  4. Step 4: Simplify right side
    2,618.92x = 5,204,102.40
  5. Step 5: Solve for x
    x = 5,204,102.40/2,618.92
  6. Step 6: Final answer
    x = 1,987.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.