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Finding the Fourth Proportional to 2,343.52, 3,512.84 and 956.30

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Solution

The fourth proportional to 2,343.52, 3,512.84 and 956.30 is: 1,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.52 : 3,512.84 = 956.30 : x
  2. Step 2: Convert to fraction form
    2,343.52/3,512.84 = 956.30/x
  3. Step 3: Cross multiply
    2,343.52x = 3,512.84 × 956.30
  4. Step 4: Simplify right side
    2,343.52x = 3,359,328.89
  5. Step 5: Solve for x
    x = 3,359,328.89/2,343.52
  6. Step 6: Final answer
    x = 1,433.45

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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.