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Finding the Fourth Proportional to 14,810.96, 22,190.52 and 8,642

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Solution

The fourth proportional to 14,810.96, 22,190.52 and 8,642 is: 12,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,810.96 : 22,190.52 = 8,642 : x
  2. Step 2: Convert to fraction form
    14,810.96/22,190.52 = 8,642/x
  3. Step 3: Cross multiply
    14,810.96x = 22,190.52 × 8,642
  4. Step 4: Simplify right side
    14,810.96x = 191,770,473.84
  5. Step 5: Solve for x
    x = 191,770,473.84/14,810.96
  6. Step 6: Final answer
    x = 12,947.88

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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.