Home / 31,856-47,782.11-9,669.56

Finding the Fourth Proportional to 31,856, 47,782.11 and 9,669.56

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Solution

The fourth proportional to 31,856, 47,782.11 and 9,669.56 is: 14,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856 : 47,782.11 = 9,669.56 : x
  2. Step 2: Convert to fraction form
    31,856/47,782.11 = 9,669.56/x
  3. Step 3: Cross multiply
    31,856x = 47,782.11 × 9,669.56
  4. Step 4: Simplify right side
    31,856x = 462,031,979.57
  5. Step 5: Solve for x
    x = 462,031,979.57/31,856
  6. Step 6: Final answer
    x = 14,503.77

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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.