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Finding the Fourth Proportional to 6,478.92, 8,938.82 and 3,827.24

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Solution

The fourth proportional to 6,478.92, 8,938.82 and 3,827.24 is: 5,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.92 : 8,938.82 = 3,827.24 : x
  2. Step 2: Convert to fraction form
    6,478.92/8,938.82 = 3,827.24/x
  3. Step 3: Cross multiply
    6,478.92x = 8,938.82 × 3,827.24
  4. Step 4: Simplify right side
    6,478.92x = 34,211,009.46
  5. Step 5: Solve for x
    x = 34,211,009.46/6,478.92
  6. Step 6: Final answer
    x = 5,280.36

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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.