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Finding the Fourth Proportional to 2,871.84, 4,306.68 and 2,407.44

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Solution

The fourth proportional to 2,871.84, 4,306.68 and 2,407.44 is: 3,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.84 : 4,306.68 = 2,407.44 : x
  2. Step 2: Convert to fraction form
    2,871.84/4,306.68 = 2,407.44/x
  3. Step 3: Cross multiply
    2,871.84x = 4,306.68 × 2,407.44
  4. Step 4: Simplify right side
    2,871.84x = 10,368,073.70
  5. Step 5: Solve for x
    x = 10,368,073.70/2,871.84
  6. Step 6: Final answer
    x = 3,610.25

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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.