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Finding the Fourth Proportional to 6,252, 8,627.96 and 3,458.04

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Solution

The fourth proportional to 6,252, 8,627.96 and 3,458.04 is: 4,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252 : 8,627.96 = 3,458.04 : x
  2. Step 2: Convert to fraction form
    6,252/8,627.96 = 3,458.04/x
  3. Step 3: Cross multiply
    6,252x = 8,627.96 × 3,458.04
  4. Step 4: Simplify right side
    6,252x = 29,835,830.80
  5. Step 5: Solve for x
    x = 29,835,830.80/6,252
  6. Step 6: Final answer
    x = 4,772.21

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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.