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Finding the Fourth Proportional to 4,764.12, 7,147.54 and 1,478.15

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Solution

The fourth proportional to 4,764.12, 7,147.54 and 1,478.15 is: 2,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.12 : 7,147.54 = 1,478.15 : x
  2. Step 2: Convert to fraction form
    4,764.12/7,147.54 = 1,478.15/x
  3. Step 3: Cross multiply
    4,764.12x = 7,147.54 × 1,478.15
  4. Step 4: Simplify right side
    4,764.12x = 10,565,129.16
  5. Step 5: Solve for x
    x = 10,565,129.16/4,764.12
  6. Step 6: Final answer
    x = 2,217.65

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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.