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Finding the Fourth Proportional to 5,478.68, 8,207.68 and 2,702.10

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Solution

The fourth proportional to 5,478.68, 8,207.68 and 2,702.10 is: 4,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.68 : 8,207.68 = 2,702.10 : x
  2. Step 2: Convert to fraction form
    5,478.68/8,207.68 = 2,702.10/x
  3. Step 3: Cross multiply
    5,478.68x = 8,207.68 × 2,702.10
  4. Step 4: Simplify right side
    5,478.68x = 22,177,972.13
  5. Step 5: Solve for x
    x = 22,177,972.13/5,478.68
  6. Step 6: Final answer
    x = 4,048.05

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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.