Home / 31,511-47,274.18-9,623

Finding the Fourth Proportional to 31,511, 47,274.18 and 9,623

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Solution

The fourth proportional to 31,511, 47,274.18 and 9,623 is: 14,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511 : 47,274.18 = 9,623 : x
  2. Step 2: Convert to fraction form
    31,511/47,274.18 = 9,623/x
  3. Step 3: Cross multiply
    31,511x = 47,274.18 × 9,623
  4. Step 4: Simplify right side
    31,511x = 454,919,434.14
  5. Step 5: Solve for x
    x = 454,919,434.14/31,511
  6. Step 6: Final answer
    x = 14,436.85

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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.