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Finding the Fourth Proportional to 5,711.51, 7,876.63 and 3,721.34

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Solution

The fourth proportional to 5,711.51, 7,876.63 and 3,721.34 is: 5,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.51 : 7,876.63 = 3,721.34 : x
  2. Step 2: Convert to fraction form
    5,711.51/7,876.63 = 3,721.34/x
  3. Step 3: Cross multiply
    5,711.51x = 7,876.63 × 3,721.34
  4. Step 4: Simplify right side
    5,711.51x = 29,311,618.28
  5. Step 5: Solve for x
    x = 29,311,618.28/5,711.51
  6. Step 6: Final answer
    x = 5,132.03

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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.