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Finding the Fourth Proportional to 7,221, 10,829.87 and 2,287.95

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Solution

The fourth proportional to 7,221, 10,829.87 and 2,287.95 is: 3,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221 : 10,829.87 = 2,287.95 : x
  2. Step 2: Convert to fraction form
    7,221/10,829.87 = 2,287.95/x
  3. Step 3: Cross multiply
    7,221x = 10,829.87 × 2,287.95
  4. Step 4: Simplify right side
    7,221x = 24,778,201.07
  5. Step 5: Solve for x
    x = 24,778,201.07/7,221
  6. Step 6: Final answer
    x = 3,431.41

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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.