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Finding the Fourth Proportional to 6,960, 9,603.92 and 3,815.36

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Solution

The fourth proportional to 6,960, 9,603.92 and 3,815.36 is: 5,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960 : 9,603.92 = 3,815.36 : x
  2. Step 2: Convert to fraction form
    6,960/9,603.92 = 3,815.36/x
  3. Step 3: Cross multiply
    6,960x = 9,603.92 × 3,815.36
  4. Step 4: Simplify right side
    6,960x = 36,642,412.21
  5. Step 5: Solve for x
    x = 36,642,412.21/6,960
  6. Step 6: Final answer
    x = 5,264.71

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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.