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Finding the Fourth Proportional to 13,134.55, 19,706.79 and 7,873.31

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Solution

The fourth proportional to 13,134.55, 19,706.79 and 7,873.31 is: 11,812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.55 : 19,706.79 = 7,873.31 : x
  2. Step 2: Convert to fraction form
    13,134.55/19,706.79 = 7,873.31/x
  3. Step 3: Cross multiply
    13,134.55x = 19,706.79 × 7,873.31
  4. Step 4: Simplify right side
    13,134.55x = 155,157,723.46
  5. Step 5: Solve for x
    x = 155,157,723.46/13,134.55
  6. Step 6: Final answer
    x = 11,812.95

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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.