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Finding the Fourth Proportional to 8,149.92, 12,165.93 and 7,541.22

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Solution

The fourth proportional to 8,149.92, 12,165.93 and 7,541.22 is: 11,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.92 : 12,165.93 = 7,541.22 : x
  2. Step 2: Convert to fraction form
    8,149.92/12,165.93 = 7,541.22/x
  3. Step 3: Cross multiply
    8,149.92x = 12,165.93 × 7,541.22
  4. Step 4: Simplify right side
    8,149.92x = 91,745,954.63
  5. Step 5: Solve for x
    x = 91,745,954.63/8,149.92
  6. Step 6: Final answer
    x = 11,257.28

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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.