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Finding the Fourth Proportional to 8,052.92, 11,113.14 and 4,865.77

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Solution

The fourth proportional to 8,052.92, 11,113.14 and 4,865.77 is: 6,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.92 : 11,113.14 = 4,865.77 : x
  2. Step 2: Convert to fraction form
    8,052.92/11,113.14 = 4,865.77/x
  3. Step 3: Cross multiply
    8,052.92x = 11,113.14 × 4,865.77
  4. Step 4: Simplify right side
    8,052.92x = 54,073,983.22
  5. Step 5: Solve for x
    x = 54,073,983.22/8,052.92
  6. Step 6: Final answer
    x = 6,714.83

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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.