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Finding the Fourth Proportional to 4,821.64, 7,221.36 and 2,475.88

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Solution

The fourth proportional to 4,821.64, 7,221.36 and 2,475.88 is: 3,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.64 : 7,221.36 = 2,475.88 : x
  2. Step 2: Convert to fraction form
    4,821.64/7,221.36 = 2,475.88/x
  3. Step 3: Cross multiply
    4,821.64x = 7,221.36 × 2,475.88
  4. Step 4: Simplify right side
    4,821.64x = 17,879,220.80
  5. Step 5: Solve for x
    x = 17,879,220.80/4,821.64
  6. Step 6: Final answer
    x = 3,708.12

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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.