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Finding the Fourth Proportional to 13,164.84, 18,166.26 and 7,196.12

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Solution

The fourth proportional to 13,164.84, 18,166.26 and 7,196.12 is: 9,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.84 : 18,166.26 = 7,196.12 : x
  2. Step 2: Convert to fraction form
    13,164.84/18,166.26 = 7,196.12/x
  3. Step 3: Cross multiply
    13,164.84x = 18,166.26 × 7,196.12
  4. Step 4: Simplify right side
    13,164.84x = 130,726,586.91
  5. Step 5: Solve for x
    x = 130,726,586.91/13,164.84
  6. Step 6: Final answer
    x = 9,929.98

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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.