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Finding the Fourth Proportional to 7,122.74, 9,829.13 and 3,935.99

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Solution

The fourth proportional to 7,122.74, 9,829.13 and 3,935.99 is: 5,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.74 : 9,829.13 = 3,935.99 : x
  2. Step 2: Convert to fraction form
    7,122.74/9,829.13 = 3,935.99/x
  3. Step 3: Cross multiply
    7,122.74x = 9,829.13 × 3,935.99
  4. Step 4: Simplify right side
    7,122.74x = 38,687,362.28
  5. Step 5: Solve for x
    x = 38,687,362.28/7,122.74
  6. Step 6: Final answer
    x = 5,431.53

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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.