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Finding the Fourth Proportional to 7,291.90, 10,942.65 and 4,171.90

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Solution

The fourth proportional to 7,291.90, 10,942.65 and 4,171.90 is: 6,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.90 : 10,942.65 = 4,171.90 : x
  2. Step 2: Convert to fraction form
    7,291.90/10,942.65 = 4,171.90/x
  3. Step 3: Cross multiply
    7,291.90x = 10,942.65 × 4,171.90
  4. Step 4: Simplify right side
    7,291.90x = 45,651,641.54
  5. Step 5: Solve for x
    x = 45,651,641.54/7,291.90
  6. Step 6: Final answer
    x = 6,260.60

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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.