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Finding the Fourth Proportional to 4,627.76, 6,945.12 and 3,398.32

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Solution

The fourth proportional to 4,627.76, 6,945.12 and 3,398.32 is: 5,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.76 : 6,945.12 = 3,398.32 : x
  2. Step 2: Convert to fraction form
    4,627.76/6,945.12 = 3,398.32/x
  3. Step 3: Cross multiply
    4,627.76x = 6,945.12 × 3,398.32
  4. Step 4: Simplify right side
    4,627.76x = 23,601,740.20
  5. Step 5: Solve for x
    x = 23,601,740.20/4,627.76
  6. Step 6: Final answer
    x = 5,100.04

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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.