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Finding the Fourth Proportional to 8,727.94, 12,045 and 8,112.88

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Solution

The fourth proportional to 8,727.94, 12,045 and 8,112.88 is: 11,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.94 : 12,045 = 8,112.88 : x
  2. Step 2: Convert to fraction form
    8,727.94/12,045 = 8,112.88/x
  3. Step 3: Cross multiply
    8,727.94x = 12,045 × 8,112.88
  4. Step 4: Simplify right side
    8,727.94x = 97,719,639.60
  5. Step 5: Solve for x
    x = 97,719,639.60/8,727.94
  6. Step 6: Final answer
    x = 11,196.19

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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.