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Finding the Fourth Proportional to 5,229, 7,215.96 and 2,871.12

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Solution

The fourth proportional to 5,229, 7,215.96 and 2,871.12 is: 3,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229 : 7,215.96 = 2,871.12 : x
  2. Step 2: Convert to fraction form
    5,229/7,215.96 = 2,871.12/x
  3. Step 3: Cross multiply
    5,229x = 7,215.96 × 2,871.12
  4. Step 4: Simplify right side
    5,229x = 20,717,887.08
  5. Step 5: Solve for x
    x = 20,717,887.08/5,229
  6. Step 6: Final answer
    x = 3,962.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.