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Finding the Fourth Proportional to 19,258.83, 28,865.97 and 8,148.87

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Solution

The fourth proportional to 19,258.83, 28,865.97 and 8,148.87 is: 12,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,258.83 : 28,865.97 = 8,148.87 : x
  2. Step 2: Convert to fraction form
    19,258.83/28,865.97 = 8,148.87/x
  3. Step 3: Cross multiply
    19,258.83x = 28,865.97 × 8,148.87
  4. Step 4: Simplify right side
    19,258.83x = 235,225,036.95
  5. Step 5: Solve for x
    x = 235,225,036.95/19,258.83
  6. Step 6: Final answer
    x = 12,213.88

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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.