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Finding the Fourth Proportional to 8,081.64, 12,133.26 and 7,819.20

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Solution

The fourth proportional to 8,081.64, 12,133.26 and 7,819.20 is: 11,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.64 : 12,133.26 = 7,819.20 : x
  2. Step 2: Convert to fraction form
    8,081.64/12,133.26 = 7,819.20/x
  3. Step 3: Cross multiply
    8,081.64x = 12,133.26 × 7,819.20
  4. Step 4: Simplify right side
    8,081.64x = 94,872,386.59
  5. Step 5: Solve for x
    x = 94,872,386.59/8,081.64
  6. Step 6: Final answer
    x = 11,739.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.