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Finding the Fourth Proportional to 5,307.81, 7,324.73 and 2,949.90

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Solution

The fourth proportional to 5,307.81, 7,324.73 and 2,949.90 is: 4,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.81 : 7,324.73 = 2,949.90 : x
  2. Step 2: Convert to fraction form
    5,307.81/7,324.73 = 2,949.90/x
  3. Step 3: Cross multiply
    5,307.81x = 7,324.73 × 2,949.90
  4. Step 4: Simplify right side
    5,307.81x = 21,607,206.28
  5. Step 5: Solve for x
    x = 21,607,206.28/5,307.81
  6. Step 6: Final answer
    x = 4,070.83

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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.