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Finding the Fourth Proportional to 31,685, 43,725.30 and 18,437

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Solution

The fourth proportional to 31,685, 43,725.30 and 18,437 is: 25,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685 : 43,725.30 = 18,437 : x
  2. Step 2: Convert to fraction form
    31,685/43,725.30 = 18,437/x
  3. Step 3: Cross multiply
    31,685x = 43,725.30 × 18,437
  4. Step 4: Simplify right side
    31,685x = 806,163,356.10
  5. Step 5: Solve for x
    x = 806,163,356.10/31,685
  6. Step 6: Final answer
    x = 25,443.06

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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.