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Finding the Fourth Proportional to 8,115.30, 12,101.70 and 8,041.38

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Solution

The fourth proportional to 8,115.30, 12,101.70 and 8,041.38 is: 11,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.30 : 12,101.70 = 8,041.38 : x
  2. Step 2: Convert to fraction form
    8,115.30/12,101.70 = 8,041.38/x
  3. Step 3: Cross multiply
    8,115.30x = 12,101.70 × 8,041.38
  4. Step 4: Simplify right side
    8,115.30x = 97,314,368.35
  5. Step 5: Solve for x
    x = 97,314,368.35/8,115.30
  6. Step 6: Final answer
    x = 11,991.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.