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Finding the Fourth Proportional to 12,210.44, 16,852.59 and 7,174.85

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Solution

The fourth proportional to 12,210.44, 16,852.59 and 7,174.85 is: 9,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.44 : 16,852.59 = 7,174.85 : x
  2. Step 2: Convert to fraction form
    12,210.44/16,852.59 = 7,174.85/x
  3. Step 3: Cross multiply
    12,210.44x = 16,852.59 × 7,174.85
  4. Step 4: Simplify right side
    12,210.44x = 120,914,721.10
  5. Step 5: Solve for x
    x = 120,914,721.10/12,210.44
  6. Step 6: Final answer
    x = 9,902.57

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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.