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Finding the Fourth Proportional to 2,264.50, 3,397.78 and 1,341.88

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Solution

The fourth proportional to 2,264.50, 3,397.78 and 1,341.88 is: 2,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.50 : 3,397.78 = 1,341.88 : x
  2. Step 2: Convert to fraction form
    2,264.50/3,397.78 = 1,341.88/x
  3. Step 3: Cross multiply
    2,264.50x = 3,397.78 × 1,341.88
  4. Step 4: Simplify right side
    2,264.50x = 4,559,413.03
  5. Step 5: Solve for x
    x = 4,559,413.03/2,264.50
  6. Step 6: Final answer
    x = 2,013.43

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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.