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Finding the Fourth Proportional to 2,873.82, 4,306.65 and 2,221.50

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Solution

The fourth proportional to 2,873.82, 4,306.65 and 2,221.50 is: 3,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.82 : 4,306.65 = 2,221.50 : x
  2. Step 2: Convert to fraction form
    2,873.82/4,306.65 = 2,221.50/x
  3. Step 3: Cross multiply
    2,873.82x = 4,306.65 × 2,221.50
  4. Step 4: Simplify right side
    2,873.82x = 9,567,222.98
  5. Step 5: Solve for x
    x = 9,567,222.98/2,873.82
  6. Step 6: Final answer
    x = 3,329.10

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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.