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Finding the Fourth Proportional to 2,527.91, 3,791.85 and 653.80

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Solution

The fourth proportional to 2,527.91, 3,791.85 and 653.80 is: 980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.91 : 3,791.85 = 653.80 : x
  2. Step 2: Convert to fraction form
    2,527.91/3,791.85 = 653.80/x
  3. Step 3: Cross multiply
    2,527.91x = 3,791.85 × 653.80
  4. Step 4: Simplify right side
    2,527.91x = 2,479,111.53
  5. Step 5: Solve for x
    x = 2,479,111.53/2,527.91
  6. Step 6: Final answer
    x = 980.70

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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.