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Finding the Fourth Proportional to 19,298.40, 28,958.40 and 8,203.20

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Solution

The fourth proportional to 19,298.40, 28,958.40 and 8,203.20 is: 12,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.40 : 28,958.40 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    19,298.40/28,958.40 = 8,203.20/x
  3. Step 3: Cross multiply
    19,298.40x = 28,958.40 × 8,203.20
  4. Step 4: Simplify right side
    19,298.40x = 237,551,546.88
  5. Step 5: Solve for x
    x = 237,551,546.88/19,298.40
  6. Step 6: Final answer
    x = 12,309.39

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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.