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Finding the Fourth Proportional to 31,266, 46,899 and 9,378

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Solution

The fourth proportional to 31,266, 46,899 and 9,378 is: 14,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,266 : 46,899 = 9,378 : x
  2. Step 2: Convert to fraction form
    31,266/46,899 = 9,378/x
  3. Step 3: Cross multiply
    31,266x = 46,899 × 9,378
  4. Step 4: Simplify right side
    31,266x = 439,818,822
  5. Step 5: Solve for x
    x = 439,818,822/31,266
  6. Step 6: Final answer
    x = 14,067

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.