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Finding the Fourth Proportional to 22,593, 31,179.40 and 13,640.30

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Solution

The fourth proportional to 22,593, 31,179.40 and 13,640.30 is: 18,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593 : 31,179.40 = 13,640.30 : x
  2. Step 2: Convert to fraction form
    22,593/31,179.40 = 13,640.30/x
  3. Step 3: Cross multiply
    22,593x = 31,179.40 × 13,640.30
  4. Step 4: Simplify right side
    22,593x = 425,296,369.82
  5. Step 5: Solve for x
    x = 425,296,369.82/22,593
  6. Step 6: Final answer
    x = 18,824.25

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1.5x scale

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.