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Finding the Fourth Proportional to 2,344.89, 3,517.34 and 784.61

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Solution

The fourth proportional to 2,344.89, 3,517.34 and 784.61 is: 1,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.89 : 3,517.34 = 784.61 : x
  2. Step 2: Convert to fraction form
    2,344.89/3,517.34 = 784.61/x
  3. Step 3: Cross multiply
    2,344.89x = 3,517.34 × 784.61
  4. Step 4: Simplify right side
    2,344.89x = 2,759,718.63
  5. Step 5: Solve for x
    x = 2,759,718.63/2,344.89
  6. Step 6: Final answer
    x = 1,176.91

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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.