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Finding the Fourth Proportional to 8,090.28, 11,158.86 and 7,819.32

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Solution

The fourth proportional to 8,090.28, 11,158.86 and 7,819.32 is: 10,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.28 : 11,158.86 = 7,819.32 : x
  2. Step 2: Convert to fraction form
    8,090.28/11,158.86 = 7,819.32/x
  3. Step 3: Cross multiply
    8,090.28x = 11,158.86 × 7,819.32
  4. Step 4: Simplify right side
    8,090.28x = 87,254,697.18
  5. Step 5: Solve for x
    x = 87,254,697.18/8,090.28
  6. Step 6: Final answer
    x = 10,785.13

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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.