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Finding the Fourth Proportional to 20,408.76, 30,594.24 and 7,258.68

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Solution

The fourth proportional to 20,408.76, 30,594.24 and 7,258.68 is: 10,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.76 : 30,594.24 = 7,258.68 : x
  2. Step 2: Convert to fraction form
    20,408.76/30,594.24 = 7,258.68/x
  3. Step 3: Cross multiply
    20,408.76x = 30,594.24 × 7,258.68
  4. Step 4: Simplify right side
    20,408.76x = 222,073,798.00
  5. Step 5: Solve for x
    x = 222,073,798.00/20,408.76
  6. Step 6: Final answer
    x = 10,881.30

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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.