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Finding the Fourth Proportional to 5,308, 7,324.38 and 2,949.84

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Solution

The fourth proportional to 5,308, 7,324.38 and 2,949.84 is: 4,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308 : 7,324.38 = 2,949.84 : x
  2. Step 2: Convert to fraction form
    5,308/7,324.38 = 2,949.84/x
  3. Step 3: Cross multiply
    5,308x = 7,324.38 × 2,949.84
  4. Step 4: Simplify right side
    5,308x = 21,605,749.10
  5. Step 5: Solve for x
    x = 21,605,749.10/5,308
  6. Step 6: Final answer
    x = 4,070.41

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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.