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Finding the Fourth Proportional to 8,003.72, 11,055.78 and 7,258.44

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Solution

The fourth proportional to 8,003.72, 11,055.78 and 7,258.44 is: 10,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.72 : 11,055.78 = 7,258.44 : x
  2. Step 2: Convert to fraction form
    8,003.72/11,055.78 = 7,258.44/x
  3. Step 3: Cross multiply
    8,003.72x = 11,055.78 × 7,258.44
  4. Step 4: Simplify right side
    8,003.72x = 80,247,715.78
  5. Step 5: Solve for x
    x = 80,247,715.78/8,003.72
  6. Step 6: Final answer
    x = 10,026.30

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Half 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.