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Finding the Fourth Proportional to 13,154.66, 19,734.42 and 8,474.48

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Solution

The fourth proportional to 13,154.66, 19,734.42 and 8,474.48 is: 12,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.66 : 19,734.42 = 8,474.48 : x
  2. Step 2: Convert to fraction form
    13,154.66/19,734.42 = 8,474.48/x
  3. Step 3: Cross multiply
    13,154.66x = 19,734.42 × 8,474.48
  4. Step 4: Simplify right side
    13,154.66x = 167,238,947.60
  5. Step 5: Solve for x
    x = 167,238,947.60/13,154.66
  6. Step 6: Final answer
    x = 12,713.29

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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.