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Finding the Fourth Proportional to 22,940, 31,661.52 and 13,004

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Solution

The fourth proportional to 22,940, 31,661.52 and 13,004 is: 17,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940 : 31,661.52 = 13,004 : x
  2. Step 2: Convert to fraction form
    22,940/31,661.52 = 13,004/x
  3. Step 3: Cross multiply
    22,940x = 31,661.52 × 13,004
  4. Step 4: Simplify right side
    22,940x = 411,726,406.08
  5. Step 5: Solve for x
    x = 411,726,406.08/22,940
  6. Step 6: Final answer
    x = 17,947.97

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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.