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Finding the Fourth Proportional to 4,220.55, 5,782.06 and 4,062.80

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Solution

The fourth proportional to 4,220.55, 5,782.06 and 4,062.80 is: 5,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.55 : 5,782.06 = 4,062.80 : x
  2. Step 2: Convert to fraction form
    4,220.55/5,782.06 = 4,062.80/x
  3. Step 3: Cross multiply
    4,220.55x = 5,782.06 × 4,062.80
  4. Step 4: Simplify right side
    4,220.55x = 23,491,314.30
  5. Step 5: Solve for x
    x = 23,491,314.30/4,220.55
  6. Step 6: Final answer
    x = 5,565.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.