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Finding the Fourth Proportional to 22,151.61, 30,564.45 and 13,202.06

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Solution

The fourth proportional to 22,151.61, 30,564.45 and 13,202.06 is: 18,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.61 : 30,564.45 = 13,202.06 : x
  2. Step 2: Convert to fraction form
    22,151.61/30,564.45 = 13,202.06/x
  3. Step 3: Cross multiply
    22,151.61x = 30,564.45 × 13,202.06
  4. Step 4: Simplify right side
    22,151.61x = 403,513,549.94
  5. Step 5: Solve for x
    x = 403,513,549.94/22,151.61
  6. Step 6: Final answer
    x = 18,215.99

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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.