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Finding the Fourth Proportional to 5,377.98, 8,059.71 and 2,782.74

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Solution

The fourth proportional to 5,377.98, 8,059.71 and 2,782.74 is: 4,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.98 : 8,059.71 = 2,782.74 : x
  2. Step 2: Convert to fraction form
    5,377.98/8,059.71 = 2,782.74/x
  3. Step 3: Cross multiply
    5,377.98x = 8,059.71 × 2,782.74
  4. Step 4: Simplify right side
    5,377.98x = 22,428,077.41
  5. Step 5: Solve for x
    x = 22,428,077.41/5,377.98
  6. Step 6: Final answer
    x = 4,170.35

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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.