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Finding the Fourth Proportional to 2,788.97, 3,848.60 and 1,610.02

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Solution

The fourth proportional to 2,788.97, 3,848.60 and 1,610.02 is: 2,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.97 : 3,848.60 = 1,610.02 : x
  2. Step 2: Convert to fraction form
    2,788.97/3,848.60 = 1,610.02/x
  3. Step 3: Cross multiply
    2,788.97x = 3,848.60 × 1,610.02
  4. Step 4: Simplify right side
    2,788.97x = 6,196,317.38
  5. Step 5: Solve for x
    x = 6,196,317.38/2,788.97
  6. Step 6: Final answer
    x = 2,221.72

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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.