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Finding the Fourth Proportional to 8,675.84, 11,984.96 and 8,356.48

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Solution

The fourth proportional to 8,675.84, 11,984.96 and 8,356.48 is: 11,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.84 : 11,984.96 = 8,356.48 : x
  2. Step 2: Convert to fraction form
    8,675.84/11,984.96 = 8,356.48/x
  3. Step 3: Cross multiply
    8,675.84x = 11,984.96 × 8,356.48
  4. Step 4: Simplify right side
    8,675.84x = 100,152,078.54
  5. Step 5: Solve for x
    x = 100,152,078.54/8,675.84
  6. Step 6: Final answer
    x = 11,543.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.