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Finding the Fourth Proportional to 3,198.74, 4,799.42 and 2,547.50

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Solution

The fourth proportional to 3,198.74, 4,799.42 and 2,547.50 is: 3,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.74 : 4,799.42 = 2,547.50 : x
  2. Step 2: Convert to fraction form
    3,198.74/4,799.42 = 2,547.50/x
  3. Step 3: Cross multiply
    3,198.74x = 4,799.42 × 2,547.50
  4. Step 4: Simplify right side
    3,198.74x = 12,226,485.72
  5. Step 5: Solve for x
    x = 12,226,485.72/3,198.74
  6. Step 6: Final answer
    x = 3,822.29

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1.5x scale

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.