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Finding the Fourth Proportional to 2,863.64, 4,297.11 and 1,547.39

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Solution

The fourth proportional to 2,863.64, 4,297.11 and 1,547.39 is: 2,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.64 : 4,297.11 = 1,547.39 : x
  2. Step 2: Convert to fraction form
    2,863.64/4,297.11 = 1,547.39/x
  3. Step 3: Cross multiply
    2,863.64x = 4,297.11 × 1,547.39
  4. Step 4: Simplify right side
    2,863.64x = 6,649,311.92
  5. Step 5: Solve for x
    x = 6,649,311.92/2,863.64
  6. Step 6: Final answer
    x = 2,321.98

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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.