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Finding the Fourth Proportional to 2,646.68, 3,645.50 and 2,449.62

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Solution

The fourth proportional to 2,646.68, 3,645.50 and 2,449.62 is: 3,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.68 : 3,645.50 = 2,449.62 : x
  2. Step 2: Convert to fraction form
    2,646.68/3,645.50 = 2,449.62/x
  3. Step 3: Cross multiply
    2,646.68x = 3,645.50 × 2,449.62
  4. Step 4: Simplify right side
    2,646.68x = 8,930,077.46
  5. Step 5: Solve for x
    x = 8,930,077.46/2,646.68
  6. Step 6: Final answer
    x = 3,374.07

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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.