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Finding the Fourth Proportional to 2,343.82, 3,515.98 and 612.46

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Solution

The fourth proportional to 2,343.82, 3,515.98 and 612.46 is: 918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.82 : 3,515.98 = 612.46 : x
  2. Step 2: Convert to fraction form
    2,343.82/3,515.98 = 612.46/x
  3. Step 3: Cross multiply
    2,343.82x = 3,515.98 × 612.46
  4. Step 4: Simplify right side
    2,343.82x = 2,153,397.11
  5. Step 5: Solve for x
    x = 2,153,397.11/2,343.82
  6. Step 6: Final answer
    x = 918.76

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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.