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Finding the Fourth Proportional to 19,098.50, 28,659.27 and 8,154.50

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Solution

The fourth proportional to 19,098.50, 28,659.27 and 8,154.50 is: 12,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098.50 : 28,659.27 = 8,154.50 : x
  2. Step 2: Convert to fraction form
    19,098.50/28,659.27 = 8,154.50/x
  3. Step 3: Cross multiply
    19,098.50x = 28,659.27 × 8,154.50
  4. Step 4: Simplify right side
    19,098.50x = 233,702,017.22
  5. Step 5: Solve for x
    x = 233,702,017.22/19,098.50
  6. Step 6: Final answer
    x = 12,236.67

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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.