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Finding the Fourth Proportional to 12,135, 18,191.65 and 4,737.73

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Solution

The fourth proportional to 12,135, 18,191.65 and 4,737.73 is: 7,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135 : 18,191.65 = 4,737.73 : x
  2. Step 2: Convert to fraction form
    12,135/18,191.65 = 4,737.73/x
  3. Step 3: Cross multiply
    12,135x = 18,191.65 × 4,737.73
  4. Step 4: Simplify right side
    12,135x = 86,187,125.95
  5. Step 5: Solve for x
    x = 86,187,125.95/12,135
  6. Step 6: Final answer
    x = 7,102.36

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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.