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Finding the Fourth Proportional to 8,142.93, 11,236.74 and 7,904.07

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Solution

The fourth proportional to 8,142.93, 11,236.74 and 7,904.07 is: 10,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.93 : 11,236.74 = 7,904.07 : x
  2. Step 2: Convert to fraction form
    8,142.93/11,236.74 = 7,904.07/x
  3. Step 3: Cross multiply
    8,142.93x = 11,236.74 × 7,904.07
  4. Step 4: Simplify right side
    8,142.93x = 88,815,945.20
  5. Step 5: Solve for x
    x = 88,815,945.20/8,142.93
  6. Step 6: Final answer
    x = 10,907.12

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Double scale
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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.