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Finding the Fourth Proportional to 7,871.21, 10,861.14 and 4,514.17

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Solution

The fourth proportional to 7,871.21, 10,861.14 and 4,514.17 is: 6,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.21 : 10,861.14 = 4,514.17 : x
  2. Step 2: Convert to fraction form
    7,871.21/10,861.14 = 4,514.17/x
  3. Step 3: Cross multiply
    7,871.21x = 10,861.14 × 4,514.17
  4. Step 4: Simplify right side
    7,871.21x = 49,029,032.35
  5. Step 5: Solve for x
    x = 49,029,032.35/7,871.21
  6. Step 6: Final answer
    x = 6,228.91

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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.