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Finding the Fourth Proportional to 22,939, 31,656.30 and 13,003

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Solution

The fourth proportional to 22,939, 31,656.30 and 13,003 is: 17,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939 : 31,656.30 = 13,003 : x
  2. Step 2: Convert to fraction form
    22,939/31,656.30 = 13,003/x
  3. Step 3: Cross multiply
    22,939x = 31,656.30 × 13,003
  4. Step 4: Simplify right side
    22,939x = 411,626,868.90
  5. Step 5: Solve for x
    x = 411,626,868.90/22,939
  6. Step 6: Final answer
    x = 17,944.41

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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.