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Finding the Fourth Proportional to 31,722, 47,583 and 9,834

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Solution

The fourth proportional to 31,722, 47,583 and 9,834 is: 14,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722 : 47,583 = 9,834 : x
  2. Step 2: Convert to fraction form
    31,722/47,583 = 9,834/x
  3. Step 3: Cross multiply
    31,722x = 47,583 × 9,834
  4. Step 4: Simplify right side
    31,722x = 467,931,222
  5. Step 5: Solve for x
    x = 467,931,222/31,722
  6. Step 6: Final answer
    x = 14,751

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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.