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Finding the Fourth Proportional to 7,338.06, 11,007 and 3,439.71

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Solution

The fourth proportional to 7,338.06, 11,007 and 3,439.71 is: 5,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.06 : 11,007 = 3,439.71 : x
  2. Step 2: Convert to fraction form
    7,338.06/11,007 = 3,439.71/x
  3. Step 3: Cross multiply
    7,338.06x = 11,007 × 3,439.71
  4. Step 4: Simplify right side
    7,338.06x = 37,860,887.97
  5. Step 5: Solve for x
    x = 37,860,887.97/7,338.06
  6. Step 6: Final answer
    x = 5,159.52

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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.