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Finding the Fourth Proportional to 3,060.78, 4,590.02 and 980.23

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Solution

The fourth proportional to 3,060.78, 4,590.02 and 980.23 is: 1,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.78 : 4,590.02 = 980.23 : x
  2. Step 2: Convert to fraction form
    3,060.78/4,590.02 = 980.23/x
  3. Step 3: Cross multiply
    3,060.78x = 4,590.02 × 980.23
  4. Step 4: Simplify right side
    3,060.78x = 4,499,275.30
  5. Step 5: Solve for x
    x = 4,499,275.30/3,060.78
  6. Step 6: Final answer
    x = 1,469.98

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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.