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Finding the Fourth Proportional to 7,171.74, 9,894 and 5,177.94

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Solution

The fourth proportional to 7,171.74, 9,894 and 5,177.94 is: 7,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.74 : 9,894 = 5,177.94 : x
  2. Step 2: Convert to fraction form
    7,171.74/9,894 = 5,177.94/x
  3. Step 3: Cross multiply
    7,171.74x = 9,894 × 5,177.94
  4. Step 4: Simplify right side
    7,171.74x = 51,230,538.36
  5. Step 5: Solve for x
    x = 51,230,538.36/7,171.74
  6. Step 6: Final answer
    x = 7,143.39

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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.