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Finding the Fourth Proportional to 31,383, 43,312.38 and 18,135

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Solution

The fourth proportional to 31,383, 43,312.38 and 18,135 is: 25,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383 : 43,312.38 = 18,135 : x
  2. Step 2: Convert to fraction form
    31,383/43,312.38 = 18,135/x
  3. Step 3: Cross multiply
    31,383x = 43,312.38 × 18,135
  4. Step 4: Simplify right side
    31,383x = 785,470,011.30
  5. Step 5: Solve for x
    x = 785,470,011.30/31,383
  6. Step 6: Final answer
    x = 25,028.52

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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.