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Finding the Fourth Proportional to 13,737, 18,950.72 and 8,069.92

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Solution

The fourth proportional to 13,737, 18,950.72 and 8,069.92 is: 11,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737 : 18,950.72 = 8,069.92 : x
  2. Step 2: Convert to fraction form
    13,737/18,950.72 = 8,069.92/x
  3. Step 3: Cross multiply
    13,737x = 18,950.72 × 8,069.92
  4. Step 4: Simplify right side
    13,737x = 152,930,794.34
  5. Step 5: Solve for x
    x = 152,930,794.34/13,737
  6. Step 6: Final answer
    x = 11,132.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.