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Finding the Fourth Proportional to 11,138.94, 15,362.18 and 7,946.14

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Solution

The fourth proportional to 11,138.94, 15,362.18 and 7,946.14 is: 10,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.94 : 15,362.18 = 7,946.14 : x
  2. Step 2: Convert to fraction form
    11,138.94/15,362.18 = 7,946.14/x
  3. Step 3: Cross multiply
    11,138.94x = 15,362.18 × 7,946.14
  4. Step 4: Simplify right side
    11,138.94x = 122,070,032.99
  5. Step 5: Solve for x
    x = 122,070,032.99/11,138.94
  6. Step 6: Final answer
    x = 10,958.86

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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.