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Finding the Fourth Proportional to 2,980.98, 4,471.49 and 1,225.71

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Solution

The fourth proportional to 2,980.98, 4,471.49 and 1,225.71 is: 1,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.98 : 4,471.49 = 1,225.71 : x
  2. Step 2: Convert to fraction form
    2,980.98/4,471.49 = 1,225.71/x
  3. Step 3: Cross multiply
    2,980.98x = 4,471.49 × 1,225.71
  4. Step 4: Simplify right side
    2,980.98x = 5,480,743.88
  5. Step 5: Solve for x
    x = 5,480,743.88/2,980.98
  6. Step 6: Final answer
    x = 1,838.57

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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.