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Finding the Fourth Proportional to 2,732.79, 4,098.87 and 785.19

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Solution

The fourth proportional to 2,732.79, 4,098.87 and 785.19 is: 1,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.79 : 4,098.87 = 785.19 : x
  2. Step 2: Convert to fraction form
    2,732.79/4,098.87 = 785.19/x
  3. Step 3: Cross multiply
    2,732.79x = 4,098.87 × 785.19
  4. Step 4: Simplify right side
    2,732.79x = 3,218,391.74
  5. Step 5: Solve for x
    x = 3,218,391.74/2,732.79
  6. Step 6: Final answer
    x = 1,177.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.