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Finding the Fourth Proportional to 1,829.97, 2,742.66 and 788.79

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Solution

The fourth proportional to 1,829.97, 2,742.66 and 788.79 is: 1,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.97 : 2,742.66 = 788.79 : x
  2. Step 2: Convert to fraction form
    1,829.97/2,742.66 = 788.79/x
  3. Step 3: Cross multiply
    1,829.97x = 2,742.66 × 788.79
  4. Step 4: Simplify right side
    1,829.97x = 2,163,382.78
  5. Step 5: Solve for x
    x = 2,163,382.78/1,829.97
  6. Step 6: Final answer
    x = 1,182.20

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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.