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Finding the Fourth Proportional to 8,657.84, 12,986.64 and 7,115.60

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Solution

The fourth proportional to 8,657.84, 12,986.64 and 7,115.60 is: 10,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.84 : 12,986.64 = 7,115.60 : x
  2. Step 2: Convert to fraction form
    8,657.84/12,986.64 = 7,115.60/x
  3. Step 3: Cross multiply
    8,657.84x = 12,986.64 × 7,115.60
  4. Step 4: Simplify right side
    8,657.84x = 92,407,735.58
  5. Step 5: Solve for x
    x = 92,407,735.58/8,657.84
  6. Step 6: Final answer
    x = 10,673.30

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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.