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Finding the Fourth Proportional to 13,186.76, 19,731.47 and 7,924.95

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Solution

The fourth proportional to 13,186.76, 19,731.47 and 7,924.95 is: 11,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.76 : 19,731.47 = 7,924.95 : x
  2. Step 2: Convert to fraction form
    13,186.76/19,731.47 = 7,924.95/x
  3. Step 3: Cross multiply
    13,186.76x = 19,731.47 × 7,924.95
  4. Step 4: Simplify right side
    13,186.76x = 156,370,873.55
  5. Step 5: Solve for x
    x = 156,370,873.55/13,186.76
  6. Step 6: Final answer
    x = 11,858.18

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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.