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Finding the Fourth Proportional to 15,138.50, 22,707.99 and 4,194.50

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Solution

The fourth proportional to 15,138.50, 22,707.99 and 4,194.50 is: 6,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.50 : 22,707.99 = 4,194.50 : x
  2. Step 2: Convert to fraction form
    15,138.50/22,707.99 = 4,194.50/x
  3. Step 3: Cross multiply
    15,138.50x = 22,707.99 × 4,194.50
  4. Step 4: Simplify right side
    15,138.50x = 95,248,664.06
  5. Step 5: Solve for x
    x = 95,248,664.06/15,138.50
  6. Step 6: Final answer
    x = 6,291.82

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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.