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Finding the Fourth Proportional to 21,143.84, 31,692.84 and 13,753.58

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Solution

The fourth proportional to 21,143.84, 31,692.84 and 13,753.58 is: 20,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.84 : 31,692.84 = 13,753.58 : x
  2. Step 2: Convert to fraction form
    21,143.84/31,692.84 = 13,753.58/x
  3. Step 3: Cross multiply
    21,143.84x = 31,692.84 × 13,753.58
  4. Step 4: Simplify right side
    21,143.84x = 435,890,010.37
  5. Step 5: Solve for x
    x = 435,890,010.37/21,143.84
  6. Step 6: Final answer
    x = 20,615.46

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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.