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Finding the Fourth Proportional to 2,488, 3,432.48 and 1,649.12

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Solution

The fourth proportional to 2,488, 3,432.48 and 1,649.12 is: 2,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488 : 3,432.48 = 1,649.12 : x
  2. Step 2: Convert to fraction form
    2,488/3,432.48 = 1,649.12/x
  3. Step 3: Cross multiply
    2,488x = 3,432.48 × 1,649.12
  4. Step 4: Simplify right side
    2,488x = 5,660,571.42
  5. Step 5: Solve for x
    x = 5,660,571.42/2,488
  6. Step 6: Final answer
    x = 2,275.15

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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.