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Finding the Fourth Proportional to 31,809, 47,713.50 and 9,921

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Solution

The fourth proportional to 31,809, 47,713.50 and 9,921 is: 14,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,809 : 47,713.50 = 9,921 : x
  2. Step 2: Convert to fraction form
    31,809/47,713.50 = 9,921/x
  3. Step 3: Cross multiply
    31,809x = 47,713.50 × 9,921
  4. Step 4: Simplify right side
    31,809x = 473,365,633.50
  5. Step 5: Solve for x
    x = 473,365,633.50/31,809
  6. Step 6: Final answer
    x = 14,881.50

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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.