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Finding the Fourth Proportional to 21,124.75, 31,692.13 and 6,893.16

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Solution

The fourth proportional to 21,124.75, 31,692.13 and 6,893.16 is: 10,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.75 : 31,692.13 = 6,893.16 : x
  2. Step 2: Convert to fraction form
    21,124.75/31,692.13 = 6,893.16/x
  3. Step 3: Cross multiply
    21,124.75x = 31,692.13 × 6,893.16
  4. Step 4: Simplify right side
    21,124.75x = 218,458,922.83
  5. Step 5: Solve for x
    x = 218,458,922.83/21,124.75
  6. Step 6: Final answer
    x = 10,341.37

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1.5x scale

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.