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Finding the Fourth Proportional to 2,659.32, 3,987.78 and 810.66

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Solution

The fourth proportional to 2,659.32, 3,987.78 and 810.66 is: 1,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.32 : 3,987.78 = 810.66 : x
  2. Step 2: Convert to fraction form
    2,659.32/3,987.78 = 810.66/x
  3. Step 3: Cross multiply
    2,659.32x = 3,987.78 × 810.66
  4. Step 4: Simplify right side
    2,659.32x = 3,232,733.73
  5. Step 5: Solve for x
    x = 3,232,733.73/2,659.32
  6. Step 6: Final answer
    x = 1,215.62

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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.