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Finding the Fourth Proportional to 10,375.51, 15,542.56 and 4,821.31

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Solution

The fourth proportional to 10,375.51, 15,542.56 and 4,821.31 is: 7,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.51 : 15,542.56 = 4,821.31 : x
  2. Step 2: Convert to fraction form
    10,375.51/15,542.56 = 4,821.31/x
  3. Step 3: Cross multiply
    10,375.51x = 15,542.56 × 4,821.31
  4. Step 4: Simplify right side
    10,375.51x = 74,935,499.95
  5. Step 5: Solve for x
    x = 74,935,499.95/10,375.51
  6. Step 6: Final answer
    x = 7,222.34

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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.