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Finding the Fourth Proportional to 38,655.18, 57,990 and 13,692.30

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Solution

The fourth proportional to 38,655.18, 57,990 and 13,692.30 is: 20,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,655.18 : 57,990 = 13,692.30 : x
  2. Step 2: Convert to fraction form
    38,655.18/57,990 = 13,692.30/x
  3. Step 3: Cross multiply
    38,655.18x = 57,990 × 13,692.30
  4. Step 4: Simplify right side
    38,655.18x = 794,016,477
  5. Step 5: Solve for x
    x = 794,016,477/38,655.18
  6. Step 6: Final answer
    x = 20,541.01

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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.