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Finding the Fourth Proportional to 31,801, 47,701.50 and 9,913

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Solution

The fourth proportional to 31,801, 47,701.50 and 9,913 is: 14,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801 : 47,701.50 = 9,913 : x
  2. Step 2: Convert to fraction form
    31,801/47,701.50 = 9,913/x
  3. Step 3: Cross multiply
    31,801x = 47,701.50 × 9,913
  4. Step 4: Simplify right side
    31,801x = 472,864,969.50
  5. Step 5: Solve for x
    x = 472,864,969.50/31,801
  6. Step 6: Final answer
    x = 14,869.50

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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.