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Finding the Fourth Proportional to 12,001.23, 16,561.71 and 6,696.36

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Solution

The fourth proportional to 12,001.23, 16,561.71 and 6,696.36 is: 9,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.23 : 16,561.71 = 6,696.36 : x
  2. Step 2: Convert to fraction form
    12,001.23/16,561.71 = 6,696.36/x
  3. Step 3: Cross multiply
    12,001.23x = 16,561.71 × 6,696.36
  4. Step 4: Simplify right side
    12,001.23x = 110,903,172.38
  5. Step 5: Solve for x
    x = 110,903,172.38/12,001.23
  6. Step 6: Final answer
    x = 9,240.98

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Why These Related Problems?

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