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Finding the Fourth Proportional to 20,813.76, 31,208.16 and 9,555

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Solution

The fourth proportional to 20,813.76, 31,208.16 and 9,555 is: 14,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.76 : 31,208.16 = 9,555 : x
  2. Step 2: Convert to fraction form
    20,813.76/31,208.16 = 9,555/x
  3. Step 3: Cross multiply
    20,813.76x = 31,208.16 × 9,555
  4. Step 4: Simplify right side
    20,813.76x = 298,193,968.80
  5. Step 5: Solve for x
    x = 298,193,968.80/20,813.76
  6. Step 6: Final answer
    x = 14,326.77

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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.