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Finding the Fourth Proportional to 2,320.80, 3,472.20 and 2,314.32

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Solution

The fourth proportional to 2,320.80, 3,472.20 and 2,314.32 is: 3,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.80 : 3,472.20 = 2,314.32 : x
  2. Step 2: Convert to fraction form
    2,320.80/3,472.20 = 2,314.32/x
  3. Step 3: Cross multiply
    2,320.80x = 3,472.20 × 2,314.32
  4. Step 4: Simplify right side
    2,320.80x = 8,035,781.90
  5. Step 5: Solve for x
    x = 8,035,781.90/2,320.80
  6. Step 6: Final answer
    x = 3,462.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.