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Finding the Fourth Proportional to 3,114.78, 4,298.07 and 1,788.68

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Solution

The fourth proportional to 3,114.78, 4,298.07 and 1,788.68 is: 2,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.78 : 4,298.07 = 1,788.68 : x
  2. Step 2: Convert to fraction form
    3,114.78/4,298.07 = 1,788.68/x
  3. Step 3: Cross multiply
    3,114.78x = 4,298.07 × 1,788.68
  4. Step 4: Simplify right side
    3,114.78x = 7,687,850.36
  5. Step 5: Solve for x
    x = 7,687,850.36/3,114.78
  6. Step 6: Final answer
    x = 2,468.19

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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.