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Finding the Fourth Proportional to 2,531.68, 3,493.41 and 1,412.68

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Solution

The fourth proportional to 2,531.68, 3,493.41 and 1,412.68 is: 1,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.68 : 3,493.41 = 1,412.68 : x
  2. Step 2: Convert to fraction form
    2,531.68/3,493.41 = 1,412.68/x
  3. Step 3: Cross multiply
    2,531.68x = 3,493.41 × 1,412.68
  4. Step 4: Simplify right side
    2,531.68x = 4,935,070.44
  5. Step 5: Solve for x
    x = 4,935,070.44/2,531.68
  6. Step 6: Final answer
    x = 1,949.33

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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.