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Finding the Fourth Proportional to 2,226.61, 3,341 and 928.45

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Solution

The fourth proportional to 2,226.61, 3,341 and 928.45 is: 1,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.61 : 3,341 = 928.45 : x
  2. Step 2: Convert to fraction form
    2,226.61/3,341 = 928.45/x
  3. Step 3: Cross multiply
    2,226.61x = 3,341 × 928.45
  4. Step 4: Simplify right side
    2,226.61x = 3,101,951.45
  5. Step 5: Solve for x
    x = 3,101,951.45/2,226.61
  6. Step 6: Final answer
    x = 1,393.13

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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.