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Finding the Fourth Proportional to 2,060.80, 3,091.02 and 906.52

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Solution

The fourth proportional to 2,060.80, 3,091.02 and 906.52 is: 1,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.80 : 3,091.02 = 906.52 : x
  2. Step 2: Convert to fraction form
    2,060.80/3,091.02 = 906.52/x
  3. Step 3: Cross multiply
    2,060.80x = 3,091.02 × 906.52
  4. Step 4: Simplify right side
    2,060.80x = 2,802,071.45
  5. Step 5: Solve for x
    x = 2,802,071.45/2,060.80
  6. Step 6: Final answer
    x = 1,359.70

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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.