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Finding the Fourth Proportional to 8,520.42, 12,768.82 and 7,264.46

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Solution

The fourth proportional to 8,520.42, 12,768.82 and 7,264.46 is: 10,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.42 : 12,768.82 = 7,264.46 : x
  2. Step 2: Convert to fraction form
    8,520.42/12,768.82 = 7,264.46/x
  3. Step 3: Cross multiply
    8,520.42x = 12,768.82 × 7,264.46
  4. Step 4: Simplify right side
    8,520.42x = 92,758,582.14
  5. Step 5: Solve for x
    x = 92,758,582.14/8,520.42
  6. Step 6: Final answer
    x = 10,886.62

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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.