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Finding the Fourth Proportional to 2,842.18, 4,264 and 894.40

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Solution

The fourth proportional to 2,842.18, 4,264 and 894.40 is: 1,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.18 : 4,264 = 894.40 : x
  2. Step 2: Convert to fraction form
    2,842.18/4,264 = 894.40/x
  3. Step 3: Cross multiply
    2,842.18x = 4,264 × 894.40
  4. Step 4: Simplify right side
    2,842.18x = 3,813,721.60
  5. Step 5: Solve for x
    x = 3,813,721.60/2,842.18
  6. Step 6: Final answer
    x = 1,341.83

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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.