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Finding the Fourth Proportional to 5,097.70, 7,640.10 and 2,907.66

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Solution

The fourth proportional to 5,097.70, 7,640.10 and 2,907.66 is: 4,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.70 : 7,640.10 = 2,907.66 : x
  2. Step 2: Convert to fraction form
    5,097.70/7,640.10 = 2,907.66/x
  3. Step 3: Cross multiply
    5,097.70x = 7,640.10 × 2,907.66
  4. Step 4: Simplify right side
    5,097.70x = 22,214,813.17
  5. Step 5: Solve for x
    x = 22,214,813.17/5,097.70
  6. Step 6: Final answer
    x = 4,357.81

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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.