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Finding the Fourth Proportional to 12,470.94, 17,209.90 and 7,166.24

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Solution

The fourth proportional to 12,470.94, 17,209.90 and 7,166.24 is: 9,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.94 : 17,209.90 = 7,166.24 : x
  2. Step 2: Convert to fraction form
    12,470.94/17,209.90 = 7,166.24/x
  3. Step 3: Cross multiply
    12,470.94x = 17,209.90 × 7,166.24
  4. Step 4: Simplify right side
    12,470.94x = 123,330,273.78
  5. Step 5: Solve for x
    x = 123,330,273.78/12,470.94
  6. Step 6: Final answer
    x = 9,889.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.