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Finding the Fourth Proportional to 7,332.76, 10,978.38 and 6,640.84

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Solution

The fourth proportional to 7,332.76, 10,978.38 and 6,640.84 is: 9,942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.76 : 10,978.38 = 6,640.84 : x
  2. Step 2: Convert to fraction form
    7,332.76/10,978.38 = 6,640.84/x
  3. Step 3: Cross multiply
    7,332.76x = 10,978.38 × 6,640.84
  4. Step 4: Simplify right side
    7,332.76x = 72,905,665.04
  5. Step 5: Solve for x
    x = 72,905,665.04/7,332.76
  6. Step 6: Final answer
    x = 9,942.46

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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.