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Finding the Fourth Proportional to 8,534.84, 12,781.62 and 7,063.16

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Solution

The fourth proportional to 8,534.84, 12,781.62 and 7,063.16 is: 10,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.84 : 12,781.62 = 7,063.16 : x
  2. Step 2: Convert to fraction form
    8,534.84/12,781.62 = 7,063.16/x
  3. Step 3: Cross multiply
    8,534.84x = 12,781.62 × 7,063.16
  4. Step 4: Simplify right side
    8,534.84x = 90,278,627.12
  5. Step 5: Solve for x
    x = 90,278,627.12/8,534.84
  6. Step 6: Final answer
    x = 10,577.66

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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.