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Finding the Fourth Proportional to 12,068.87, 18,089.28 and 7,142.67

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Solution

The fourth proportional to 12,068.87, 18,089.28 and 7,142.67 is: 10,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068.87 : 18,089.28 = 7,142.67 : x
  2. Step 2: Convert to fraction form
    12,068.87/18,089.28 = 7,142.67/x
  3. Step 3: Cross multiply
    12,068.87x = 18,089.28 × 7,142.67
  4. Step 4: Simplify right side
    12,068.87x = 129,205,757.58
  5. Step 5: Solve for x
    x = 129,205,757.58/12,068.87
  6. Step 6: Final answer
    x = 10,705.71

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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.