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Finding the Fourth Proportional to 20,893.80, 31,368.51 and 12,135

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Solution

The fourth proportional to 20,893.80, 31,368.51 and 12,135 is: 18,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.80 : 31,368.51 = 12,135 : x
  2. Step 2: Convert to fraction form
    20,893.80/31,368.51 = 12,135/x
  3. Step 3: Cross multiply
    20,893.80x = 31,368.51 × 12,135
  4. Step 4: Simplify right side
    20,893.80x = 380,656,868.85
  5. Step 5: Solve for x
    x = 380,656,868.85/20,893.80
  6. Step 6: Final answer
    x = 18,218.65

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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.