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Finding the Fourth Proportional to 19,313.29, 28,978.44 and 8,221.15

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Solution

The fourth proportional to 19,313.29, 28,978.44 and 8,221.15 is: 12,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,313.29 : 28,978.44 = 8,221.15 : x
  2. Step 2: Convert to fraction form
    19,313.29/28,978.44 = 8,221.15/x
  3. Step 3: Cross multiply
    19,313.29x = 28,978.44 × 8,221.15
  4. Step 4: Simplify right side
    19,313.29x = 238,236,102.01
  5. Step 5: Solve for x
    x = 238,236,102.01/19,313.29
  6. Step 6: Final answer
    x = 12,335.35

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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.