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Finding the Fourth Proportional to 8,128.74, 12,193.14 and 1,972.74

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Solution

The fourth proportional to 8,128.74, 12,193.14 and 1,972.74 is: 2,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.74 : 12,193.14 = 1,972.74 : x
  2. Step 2: Convert to fraction form
    8,128.74/12,193.14 = 1,972.74/x
  3. Step 3: Cross multiply
    8,128.74x = 12,193.14 × 1,972.74
  4. Step 4: Simplify right side
    8,128.74x = 24,053,895.00
  5. Step 5: Solve for x
    x = 24,053,895.00/8,128.74
  6. Step 6: Final answer
    x = 2,959.12

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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.