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Finding the Fourth Proportional to 2,980.70, 4,113.89 and 1,721.80

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Solution

The fourth proportional to 2,980.70, 4,113.89 and 1,721.80 is: 2,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.70 : 4,113.89 = 1,721.80 : x
  2. Step 2: Convert to fraction form
    2,980.70/4,113.89 = 1,721.80/x
  3. Step 3: Cross multiply
    2,980.70x = 4,113.89 × 1,721.80
  4. Step 4: Simplify right side
    2,980.70x = 7,083,298.79
  5. Step 5: Solve for x
    x = 7,083,298.79/2,980.70
  6. Step 6: Final answer
    x = 2,376.39

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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.