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Finding the Fourth Proportional to 8,187.38, 12,298.08 and 7,968.68

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Solution

The fourth proportional to 8,187.38, 12,298.08 and 7,968.68 is: 11,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.38 : 12,298.08 = 7,968.68 : x
  2. Step 2: Convert to fraction form
    8,187.38/12,298.08 = 7,968.68/x
  3. Step 3: Cross multiply
    8,187.38x = 12,298.08 × 7,968.68
  4. Step 4: Simplify right side
    8,187.38x = 97,999,464.13
  5. Step 5: Solve for x
    x = 97,999,464.13/8,187.38
  6. Step 6: Final answer
    x = 11,969.58

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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.