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Finding the Fourth Proportional to 2,169.74, 3,253.79 and 782.71

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Solution

The fourth proportional to 2,169.74, 3,253.79 and 782.71 is: 1,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.74 : 3,253.79 = 782.71 : x
  2. Step 2: Convert to fraction form
    2,169.74/3,253.79 = 782.71/x
  3. Step 3: Cross multiply
    2,169.74x = 3,253.79 × 782.71
  4. Step 4: Simplify right side
    2,169.74x = 2,546,767.79
  5. Step 5: Solve for x
    x = 2,546,767.79/2,169.74
  6. Step 6: Final answer
    x = 1,173.76

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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.