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Finding the Fourth Proportional to 7,097.70, 9,791.91 and 4,262.70

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Solution

The fourth proportional to 7,097.70, 9,791.91 and 4,262.70 is: 5,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.70 : 9,791.91 = 4,262.70 : x
  2. Step 2: Convert to fraction form
    7,097.70/9,791.91 = 4,262.70/x
  3. Step 3: Cross multiply
    7,097.70x = 9,791.91 × 4,262.70
  4. Step 4: Simplify right side
    7,097.70x = 41,739,974.76
  5. Step 5: Solve for x
    x = 41,739,974.76/7,097.70
  6. Step 6: Final answer
    x = 5,880.77

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1.5x scale

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.