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Finding the Fourth Proportional to 31,681, 43,719.78 and 18,433

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Solution

The fourth proportional to 31,681, 43,719.78 and 18,433 is: 25,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681 : 43,719.78 = 18,433 : x
  2. Step 2: Convert to fraction form
    31,681/43,719.78 = 18,433/x
  3. Step 3: Cross multiply
    31,681x = 43,719.78 × 18,433
  4. Step 4: Simplify right side
    31,681x = 805,886,704.74
  5. Step 5: Solve for x
    x = 805,886,704.74/31,681
  6. Step 6: Final answer
    x = 25,437.54

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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.