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Finding the Fourth Proportional to 8,258.74, 12,357.06 and 4,914.69

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Solution

The fourth proportional to 8,258.74, 12,357.06 and 4,914.69 is: 7,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.74 : 12,357.06 = 4,914.69 : x
  2. Step 2: Convert to fraction form
    8,258.74/12,357.06 = 4,914.69/x
  3. Step 3: Cross multiply
    8,258.74x = 12,357.06 × 4,914.69
  4. Step 4: Simplify right side
    8,258.74x = 60,731,119.21
  5. Step 5: Solve for x
    x = 60,731,119.21/8,258.74
  6. Step 6: Final answer
    x = 7,353.56

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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.