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Finding the Fourth Proportional to 19,661.61, 27,142.22 and 12,592.07

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Solution

The fourth proportional to 19,661.61, 27,142.22 and 12,592.07 is: 17,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.61 : 27,142.22 = 12,592.07 : x
  2. Step 2: Convert to fraction form
    19,661.61/27,142.22 = 12,592.07/x
  3. Step 3: Cross multiply
    19,661.61x = 27,142.22 × 12,592.07
  4. Step 4: Simplify right side
    19,661.61x = 341,776,734.20
  5. Step 5: Solve for x
    x = 341,776,734.20/19,661.61
  6. Step 6: Final answer
    x = 17,382.95

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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.