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Finding the Fourth Proportional to 31,720, 47,580 and 9,832

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Solution

The fourth proportional to 31,720, 47,580 and 9,832 is: 14,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720 : 47,580 = 9,832 : x
  2. Step 2: Convert to fraction form
    31,720/47,580 = 9,832/x
  3. Step 3: Cross multiply
    31,720x = 47,580 × 9,832
  4. Step 4: Simplify right side
    31,720x = 467,806,560
  5. Step 5: Solve for x
    x = 467,806,560/31,720
  6. Step 6: Final answer
    x = 14,748

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