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Finding the Fourth Proportional to 6,960, 9,605.04 and 5,200.32

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Solution

The fourth proportional to 6,960, 9,605.04 and 5,200.32 is: 7,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960 : 9,605.04 = 5,200.32 : x
  2. Step 2: Convert to fraction form
    6,960/9,605.04 = 5,200.32/x
  3. Step 3: Cross multiply
    6,960x = 9,605.04 × 5,200.32
  4. Step 4: Simplify right side
    6,960x = 49,949,281.61
  5. Step 5: Solve for x
    x = 49,949,281.61/6,960
  6. Step 6: Final answer
    x = 7,176.62

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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.