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Finding the Fourth Proportional to 2,060.78, 3,091.14 and 500.80

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Solution

The fourth proportional to 2,060.78, 3,091.14 and 500.80 is: 751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.78 : 3,091.14 = 500.80 : x
  2. Step 2: Convert to fraction form
    2,060.78/3,091.14 = 500.80/x
  3. Step 3: Cross multiply
    2,060.78x = 3,091.14 × 500.80
  4. Step 4: Simplify right side
    2,060.78x = 1,548,027.46
  5. Step 5: Solve for x
    x = 1,548,027.46/2,060.78
  6. Step 6: Final answer
    x = 751.19

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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.