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Finding the Fourth Proportional to 6,478.98, 8,941.02 and 3,827.70

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Solution

The fourth proportional to 6,478.98, 8,941.02 and 3,827.70 is: 5,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.98 : 8,941.02 = 3,827.70 : x
  2. Step 2: Convert to fraction form
    6,478.98/8,941.02 = 3,827.70/x
  3. Step 3: Cross multiply
    6,478.98x = 8,941.02 × 3,827.70
  4. Step 4: Simplify right side
    6,478.98x = 34,223,542.25
  5. Step 5: Solve for x
    x = 34,223,542.25/6,478.98
  6. Step 6: Final answer
    x = 5,282.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.