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Finding the Fourth Proportional to 3,214.62, 4,821.86 and 1,023.30

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Solution

The fourth proportional to 3,214.62, 4,821.86 and 1,023.30 is: 1,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.62 : 4,821.86 = 1,023.30 : x
  2. Step 2: Convert to fraction form
    3,214.62/4,821.86 = 1,023.30/x
  3. Step 3: Cross multiply
    3,214.62x = 4,821.86 × 1,023.30
  4. Step 4: Simplify right side
    3,214.62x = 4,934,211.90
  5. Step 5: Solve for x
    x = 4,934,211.90/3,214.62
  6. Step 6: Final answer
    x = 1,534.93

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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.