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Finding the Fourth Proportional to 3,436, 4,737.25 and 2,805.86

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Solution

The fourth proportional to 3,436, 4,737.25 and 2,805.86 is: 3,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436 : 4,737.25 = 2,805.86 : x
  2. Step 2: Convert to fraction form
    3,436/4,737.25 = 2,805.86/x
  3. Step 3: Cross multiply
    3,436x = 4,737.25 × 2,805.86
  4. Step 4: Simplify right side
    3,436x = 13,292,060.29
  5. Step 5: Solve for x
    x = 13,292,060.29/3,436
  6. Step 6: Final answer
    x = 3,868.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.