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Finding the Fourth Proportional to 7,208.88, 9,949.14 and 4,065

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Solution

The fourth proportional to 7,208.88, 9,949.14 and 4,065 is: 5,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.88 : 9,949.14 = 4,065 : x
  2. Step 2: Convert to fraction form
    7,208.88/9,949.14 = 4,065/x
  3. Step 3: Cross multiply
    7,208.88x = 9,949.14 × 4,065
  4. Step 4: Simplify right side
    7,208.88x = 40,443,254.10
  5. Step 5: Solve for x
    x = 40,443,254.10/7,208.88
  6. Step 6: Final answer
    x = 5,610.20

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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.