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Finding the Fourth Proportional to 39,498.70, 54,472.08 and 30,886

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Solution

The fourth proportional to 39,498.70, 54,472.08 and 30,886 is: 42,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,498.70 : 54,472.08 = 30,886 : x
  2. Step 2: Convert to fraction form
    39,498.70/54,472.08 = 30,886/x
  3. Step 3: Cross multiply
    39,498.70x = 54,472.08 × 30,886
  4. Step 4: Simplify right side
    39,498.70x = 1,682,424,662.88
  5. Step 5: Solve for x
    x = 1,682,424,662.88/39,498.70
  6. Step 6: Final answer
    x = 42,594.43

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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.