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Finding the Fourth Proportional to 2,447.47, 3,377.47 and 1,328.40

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Solution

The fourth proportional to 2,447.47, 3,377.47 and 1,328.40 is: 1,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.47 : 3,377.47 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    2,447.47/3,377.47 = 1,328.40/x
  3. Step 3: Cross multiply
    2,447.47x = 3,377.47 × 1,328.40
  4. Step 4: Simplify right side
    2,447.47x = 4,486,634.05
  5. Step 5: Solve for x
    x = 4,486,634.05/2,447.47
  6. Step 6: Final answer
    x = 1,833.18

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1.5x scale

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.