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Finding the Fourth Proportional to 3,287.72, 4,538.22 and 2,898.92

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Solution

The fourth proportional to 3,287.72, 4,538.22 and 2,898.92 is: 4,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.72 : 4,538.22 = 2,898.92 : x
  2. Step 2: Convert to fraction form
    3,287.72/4,538.22 = 2,898.92/x
  3. Step 3: Cross multiply
    3,287.72x = 4,538.22 × 2,898.92
  4. Step 4: Simplify right side
    3,287.72x = 13,155,936.72
  5. Step 5: Solve for x
    x = 13,155,936.72/3,287.72
  6. Step 6: Final answer
    x = 4,001.54

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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.