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Finding the Fourth Proportional to 5,782.79, 8,679.10 and 2,275.25

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Solution

The fourth proportional to 5,782.79, 8,679.10 and 2,275.25 is: 3,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.79 : 8,679.10 = 2,275.25 : x
  2. Step 2: Convert to fraction form
    5,782.79/8,679.10 = 2,275.25/x
  3. Step 3: Cross multiply
    5,782.79x = 8,679.10 × 2,275.25
  4. Step 4: Simplify right side
    5,782.79x = 19,747,122.28
  5. Step 5: Solve for x
    x = 19,747,122.28/5,782.79
  6. Step 6: Final answer
    x = 3,414.81

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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.