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Finding the Fourth Proportional to 3,387.81, 5,081.80 and 922.68

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Solution

The fourth proportional to 3,387.81, 5,081.80 and 922.68 is: 1,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.81 : 5,081.80 = 922.68 : x
  2. Step 2: Convert to fraction form
    3,387.81/5,081.80 = 922.68/x
  3. Step 3: Cross multiply
    3,387.81x = 5,081.80 × 922.68
  4. Step 4: Simplify right side
    3,387.81x = 4,688,875.22
  5. Step 5: Solve for x
    x = 4,688,875.22/3,387.81
  6. Step 6: Final answer
    x = 1,384.04

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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.