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Finding the Fourth Proportional to 2,320, 3,480.30 and 1,086.76

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Solution

The fourth proportional to 2,320, 3,480.30 and 1,086.76 is: 1,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320 : 3,480.30 = 1,086.76 : x
  2. Step 2: Convert to fraction form
    2,320/3,480.30 = 1,086.76/x
  3. Step 3: Cross multiply
    2,320x = 3,480.30 × 1,086.76
  4. Step 4: Simplify right side
    2,320x = 3,782,250.83
  5. Step 5: Solve for x
    x = 3,782,250.83/2,320
  6. Step 6: Final answer
    x = 1,630.28

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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.