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Finding the Fourth Proportional to 8,521.42, 12,770.32 and 7,265.46

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Solution

The fourth proportional to 8,521.42, 12,770.32 and 7,265.46 is: 10,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.42 : 12,770.32 = 7,265.46 : x
  2. Step 2: Convert to fraction form
    8,521.42/12,770.32 = 7,265.46/x
  3. Step 3: Cross multiply
    8,521.42x = 12,770.32 × 7,265.46
  4. Step 4: Simplify right side
    8,521.42x = 92,782,249.15
  5. Step 5: Solve for x
    x = 92,782,249.15/8,521.42
  6. Step 6: Final answer
    x = 10,888.12

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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.