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Finding the Fourth Proportional to 31,913, 47,869.50 and 8,538.83

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Solution

The fourth proportional to 31,913, 47,869.50 and 8,538.83 is: 12,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913 : 47,869.50 = 8,538.83 : x
  2. Step 2: Convert to fraction form
    31,913/47,869.50 = 8,538.83/x
  3. Step 3: Cross multiply
    31,913x = 47,869.50 × 8,538.83
  4. Step 4: Simplify right side
    31,913x = 408,749,522.69
  5. Step 5: Solve for x
    x = 408,749,522.69/31,913
  6. Step 6: Final answer
    x = 12,808.25

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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.