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Finding the Fourth Proportional to 2,340.43, 3,510.17 and 859.15

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Solution

The fourth proportional to 2,340.43, 3,510.17 and 859.15 is: 1,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.43 : 3,510.17 = 859.15 : x
  2. Step 2: Convert to fraction form
    2,340.43/3,510.17 = 859.15/x
  3. Step 3: Cross multiply
    2,340.43x = 3,510.17 × 859.15
  4. Step 4: Simplify right side
    2,340.43x = 3,015,762.56
  5. Step 5: Solve for x
    x = 3,015,762.56/2,340.43
  6. Step 6: Final answer
    x = 1,288.55

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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.