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Finding the Fourth Proportional to 8,543.84, 12,795.12 and 7,072.16

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Solution

The fourth proportional to 8,543.84, 12,795.12 and 7,072.16 is: 10,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.84 : 12,795.12 = 7,072.16 : x
  2. Step 2: Convert to fraction form
    8,543.84/12,795.12 = 7,072.16/x
  3. Step 3: Cross multiply
    8,543.84x = 12,795.12 × 7,072.16
  4. Step 4: Simplify right side
    8,543.84x = 90,489,135.86
  5. Step 5: Solve for x
    x = 90,489,135.86/8,543.84
  6. Step 6: Final answer
    x = 10,591.16

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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.