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Finding the Fourth Proportional to 31,391, 43,323.42 and 18,143

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Solution

The fourth proportional to 31,391, 43,323.42 and 18,143 is: 25,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,391 : 43,323.42 = 18,143 : x
  2. Step 2: Convert to fraction form
    31,391/43,323.42 = 18,143/x
  3. Step 3: Cross multiply
    31,391x = 43,323.42 × 18,143
  4. Step 4: Simplify right side
    31,391x = 786,016,809.06
  5. Step 5: Solve for x
    x = 786,016,809.06/31,391
  6. Step 6: Final answer
    x = 25,039.56

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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.