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Finding the Fourth Proportional to 10,561.98, 15,846.49 and 3,542.69

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Solution

The fourth proportional to 10,561.98, 15,846.49 and 3,542.69 is: 5,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.98 : 15,846.49 = 3,542.69 : x
  2. Step 2: Convert to fraction form
    10,561.98/15,846.49 = 3,542.69/x
  3. Step 3: Cross multiply
    10,561.98x = 15,846.49 × 3,542.69
  4. Step 4: Simplify right side
    10,561.98x = 56,139,201.66
  5. Step 5: Solve for x
    x = 56,139,201.66/10,561.98
  6. Step 6: Final answer
    x = 5,315.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.