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Finding the Fourth Proportional to 8,262.92, 12,300.76 and 8,219.18

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Solution

The fourth proportional to 8,262.92, 12,300.76 and 8,219.18 is: 12,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.92 : 12,300.76 = 8,219.18 : x
  2. Step 2: Convert to fraction form
    8,262.92/12,300.76 = 8,219.18/x
  3. Step 3: Cross multiply
    8,262.92x = 12,300.76 × 8,219.18
  4. Step 4: Simplify right side
    8,262.92x = 101,102,160.58
  5. Step 5: Solve for x
    x = 101,102,160.58/8,262.92
  6. Step 6: Final answer
    x = 12,235.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.