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Finding the Fourth Proportional to 4,789.72, 7,179.72 and 3,403

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Solution

The fourth proportional to 4,789.72, 7,179.72 and 3,403 is: 5,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.72 : 7,179.72 = 3,403 : x
  2. Step 2: Convert to fraction form
    4,789.72/7,179.72 = 3,403/x
  3. Step 3: Cross multiply
    4,789.72x = 7,179.72 × 3,403
  4. Step 4: Simplify right side
    4,789.72x = 24,432,587.16
  5. Step 5: Solve for x
    x = 24,432,587.16/4,789.72
  6. Step 6: Final answer
    x = 5,101.05

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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.