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Finding the Fourth Proportional to 8,090, 11,156.37 and 5,258.14

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Solution

The fourth proportional to 8,090, 11,156.37 and 5,258.14 is: 7,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090 : 11,156.37 = 5,258.14 : x
  2. Step 2: Convert to fraction form
    8,090/11,156.37 = 5,258.14/x
  3. Step 3: Cross multiply
    8,090x = 11,156.37 × 5,258.14
  4. Step 4: Simplify right side
    8,090x = 58,661,755.35
  5. Step 5: Solve for x
    x = 58,661,755.35/8,090
  6. Step 6: Final answer
    x = 7,251.14

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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.