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Finding the Fourth Proportional to 4,765.76, 7,147.68 and 1,478.32

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Solution

The fourth proportional to 4,765.76, 7,147.68 and 1,478.32 is: 2,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.76 : 7,147.68 = 1,478.32 : x
  2. Step 2: Convert to fraction form
    4,765.76/7,147.68 = 1,478.32/x
  3. Step 3: Cross multiply
    4,765.76x = 7,147.68 × 1,478.32
  4. Step 4: Simplify right side
    4,765.76x = 10,566,558.30
  5. Step 5: Solve for x
    x = 10,566,558.30/4,765.76
  6. Step 6: Final answer
    x = 2,217.18

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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.