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Finding the Fourth Proportional to 8,172.06, 12,165.66 and 8,123.46

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Solution

The fourth proportional to 8,172.06, 12,165.66 and 8,123.46 is: 12,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.06 : 12,165.66 = 8,123.46 : x
  2. Step 2: Convert to fraction form
    8,172.06/12,165.66 = 8,123.46/x
  3. Step 3: Cross multiply
    8,172.06x = 12,165.66 × 8,123.46
  4. Step 4: Simplify right side
    8,172.06x = 98,827,252.38
  5. Step 5: Solve for x
    x = 98,827,252.38/8,172.06
  6. Step 6: Final answer
    x = 12,093.31

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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.