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Finding the Fourth Proportional to 31,788, 47,682 and 9,900

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Solution

The fourth proportional to 31,788, 47,682 and 9,900 is: 14,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788 : 47,682 = 9,900 : x
  2. Step 2: Convert to fraction form
    31,788/47,682 = 9,900/x
  3. Step 3: Cross multiply
    31,788x = 47,682 × 9,900
  4. Step 4: Simplify right side
    31,788x = 472,051,800
  5. Step 5: Solve for x
    x = 472,051,800/31,788
  6. Step 6: Final answer
    x = 14,850

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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.