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Finding the Fourth Proportional to 2,345.20, 3,517.79 and 959.18

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Solution

The fourth proportional to 2,345.20, 3,517.79 and 959.18 is: 1,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.20 : 3,517.79 = 959.18 : x
  2. Step 2: Convert to fraction form
    2,345.20/3,517.79 = 959.18/x
  3. Step 3: Cross multiply
    2,345.20x = 3,517.79 × 959.18
  4. Step 4: Simplify right side
    2,345.20x = 3,374,193.81
  5. Step 5: Solve for x
    x = 3,374,193.81/2,345.20
  6. Step 6: Final answer
    x = 1,438.77

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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.