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Finding the Fourth Proportional to 11,612.70, 16,007.94 and 7,132.95

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Solution

The fourth proportional to 11,612.70, 16,007.94 and 7,132.95 is: 9,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.70 : 16,007.94 = 7,132.95 : x
  2. Step 2: Convert to fraction form
    11,612.70/16,007.94 = 7,132.95/x
  3. Step 3: Cross multiply
    11,612.70x = 16,007.94 × 7,132.95
  4. Step 4: Simplify right side
    11,612.70x = 114,183,835.62
  5. Step 5: Solve for x
    x = 114,183,835.62/11,612.70
  6. Step 6: Final answer
    x = 9,832.67

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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.