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Finding the Fourth Proportional to 2,788.47, 3,841.47 and 1,947.69

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Solution

The fourth proportional to 2,788.47, 3,841.47 and 1,947.69 is: 2,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.47 : 3,841.47 = 1,947.69 : x
  2. Step 2: Convert to fraction form
    2,788.47/3,841.47 = 1,947.69/x
  3. Step 3: Cross multiply
    2,788.47x = 3,841.47 × 1,947.69
  4. Step 4: Simplify right side
    2,788.47x = 7,481,992.70
  5. Step 5: Solve for x
    x = 7,481,992.70/2,788.47
  6. Step 6: Final answer
    x = 2,683.19

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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.