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Finding the Fourth Proportional to 8,151.66, 12,203.19 and 8,012.34

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Solution

The fourth proportional to 8,151.66, 12,203.19 and 8,012.34 is: 11,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.66 : 12,203.19 = 8,012.34 : x
  2. Step 2: Convert to fraction form
    8,151.66/12,203.19 = 8,012.34/x
  3. Step 3: Cross multiply
    8,151.66x = 12,203.19 × 8,012.34
  4. Step 4: Simplify right side
    8,151.66x = 97,776,107.36
  5. Step 5: Solve for x
    x = 97,776,107.36/8,151.66
  6. Step 6: Final answer
    x = 11,994.63

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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.