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Finding the Fourth Proportional to 2,236.61, 3,354.92 and 921.08

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Solution

The fourth proportional to 2,236.61, 3,354.92 and 921.08 is: 1,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.61 : 3,354.92 = 921.08 : x
  2. Step 2: Convert to fraction form
    2,236.61/3,354.92 = 921.08/x
  3. Step 3: Cross multiply
    2,236.61x = 3,354.92 × 921.08
  4. Step 4: Simplify right side
    2,236.61x = 3,090,149.71
  5. Step 5: Solve for x
    x = 3,090,149.71/2,236.61
  6. Step 6: Final answer
    x = 1,381.62

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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.