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Finding the Fourth Proportional to 12,006.36, 16,561.88 and 7,223

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Solution

The fourth proportional to 12,006.36, 16,561.88 and 7,223 is: 9,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.36 : 16,561.88 = 7,223 : x
  2. Step 2: Convert to fraction form
    12,006.36/16,561.88 = 7,223/x
  3. Step 3: Cross multiply
    12,006.36x = 16,561.88 × 7,223
  4. Step 4: Simplify right side
    12,006.36x = 119,626,459.24
  5. Step 5: Solve for x
    x = 119,626,459.24/12,006.36
  6. Step 6: Final answer
    x = 9,963.59

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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.