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Finding the Fourth Proportional to 4,764.98, 7,147.56 and 1,478.18

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Solution

The fourth proportional to 4,764.98, 7,147.56 and 1,478.18 is: 2,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.98 : 7,147.56 = 1,478.18 : x
  2. Step 2: Convert to fraction form
    4,764.98/7,147.56 = 1,478.18/x
  3. Step 3: Cross multiply
    4,764.98x = 7,147.56 × 1,478.18
  4. Step 4: Simplify right side
    4,764.98x = 10,565,380.24
  5. Step 5: Solve for x
    x = 10,565,380.24/4,764.98
  6. Step 6: Final answer
    x = 2,217.30

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1.5x scale

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.