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Finding the Fourth Proportional to 31,866.67, 47,801 and 10,806.40

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Solution

The fourth proportional to 31,866.67, 47,801 and 10,806.40 is: 16,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.67 : 47,801 = 10,806.40 : x
  2. Step 2: Convert to fraction form
    31,866.67/47,801 = 10,806.40/x
  3. Step 3: Cross multiply
    31,866.67x = 47,801 × 10,806.40
  4. Step 4: Simplify right side
    31,866.67x = 516,556,726.40
  5. Step 5: Solve for x
    x = 516,556,726.40/31,866.67
  6. Step 6: Final answer
    x = 16,209.94

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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.