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Finding the Fourth Proportional to 3,297.74, 4,947.15 and 1,565.78

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Solution

The fourth proportional to 3,297.74, 4,947.15 and 1,565.78 is: 2,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.74 : 4,947.15 = 1,565.78 : x
  2. Step 2: Convert to fraction form
    3,297.74/4,947.15 = 1,565.78/x
  3. Step 3: Cross multiply
    3,297.74x = 4,947.15 × 1,565.78
  4. Step 4: Simplify right side
    3,297.74x = 7,746,148.53
  5. Step 5: Solve for x
    x = 7,746,148.53/3,297.74
  6. Step 6: Final answer
    x = 2,348.93

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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.