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Finding the Fourth Proportional to 8,027.76, 12,019.76 and 5,425.52

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Solution

The fourth proportional to 8,027.76, 12,019.76 and 5,425.52 is: 8,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.76 : 12,019.76 = 5,425.52 : x
  2. Step 2: Convert to fraction form
    8,027.76/12,019.76 = 5,425.52/x
  3. Step 3: Cross multiply
    8,027.76x = 12,019.76 × 5,425.52
  4. Step 4: Simplify right side
    8,027.76x = 65,213,448.28
  5. Step 5: Solve for x
    x = 65,213,448.28/8,027.76
  6. Step 6: Final answer
    x = 8,123.49

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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.