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Finding the Fourth Proportional to 8,107.54, 12,139.38 and 4,203.74

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Solution

The fourth proportional to 8,107.54, 12,139.38 and 4,203.74 is: 6,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.54 : 12,139.38 = 4,203.74 : x
  2. Step 2: Convert to fraction form
    8,107.54/12,139.38 = 4,203.74/x
  3. Step 3: Cross multiply
    8,107.54x = 12,139.38 × 4,203.74
  4. Step 4: Simplify right side
    8,107.54x = 51,030,797.28
  5. Step 5: Solve for x
    x = 51,030,797.28/8,107.54
  6. Step 6: Final answer
    x = 6,294.24

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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.