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Finding the Fourth Proportional to 10,093.36, 13,942.18 and 8,420.30

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Solution

The fourth proportional to 10,093.36, 13,942.18 and 8,420.30 is: 11,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.36 : 13,942.18 = 8,420.30 : x
  2. Step 2: Convert to fraction form
    10,093.36/13,942.18 = 8,420.30/x
  3. Step 3: Cross multiply
    10,093.36x = 13,942.18 × 8,420.30
  4. Step 4: Simplify right side
    10,093.36x = 117,397,338.25
  5. Step 5: Solve for x
    x = 117,397,338.25/10,093.36
  6. Step 6: Final answer
    x = 11,631.15

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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.