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Finding the Fourth Proportional to 12,763.44, 17,601.84 and 8,454.74

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Solution

The fourth proportional to 12,763.44, 17,601.84 and 8,454.74 is: 11,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.44 : 17,601.84 = 8,454.74 : x
  2. Step 2: Convert to fraction form
    12,763.44/17,601.84 = 8,454.74/x
  3. Step 3: Cross multiply
    12,763.44x = 17,601.84 × 8,454.74
  4. Step 4: Simplify right side
    12,763.44x = 148,818,892.71
  5. Step 5: Solve for x
    x = 148,818,892.71/12,763.44
  6. Step 6: Final answer
    x = 11,659.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.