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Finding the Fourth Proportional to 2,980.76, 4,113.64 and 1,721.86

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Solution

The fourth proportional to 2,980.76, 4,113.64 and 1,721.86 is: 2,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.76 : 4,113.64 = 1,721.86 : x
  2. Step 2: Convert to fraction form
    2,980.76/4,113.64 = 1,721.86/x
  3. Step 3: Cross multiply
    2,980.76x = 4,113.64 × 1,721.86
  4. Step 4: Simplify right side
    2,980.76x = 7,083,112.17
  5. Step 5: Solve for x
    x = 7,083,112.17/2,980.76
  6. Step 6: Final answer
    x = 2,376.28

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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.