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Finding the Fourth Proportional to 1,312.92, 1,972.18 and 826.31

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Solution

The fourth proportional to 1,312.92, 1,972.18 and 826.31 is: 1,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.92 : 1,972.18 = 826.31 : x
  2. Step 2: Convert to fraction form
    1,312.92/1,972.18 = 826.31/x
  3. Step 3: Cross multiply
    1,312.92x = 1,972.18 × 826.31
  4. Step 4: Simplify right side
    1,312.92x = 1,629,632.06
  5. Step 5: Solve for x
    x = 1,629,632.06/1,312.92
  6. Step 6: Final answer
    x = 1,241.23

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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.