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Finding the Fourth Proportional to 12,770.11, 19,162.64 and 5,374

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Solution

The fourth proportional to 12,770.11, 19,162.64 and 5,374 is: 8,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.11 : 19,162.64 = 5,374 : x
  2. Step 2: Convert to fraction form
    12,770.11/19,162.64 = 5,374/x
  3. Step 3: Cross multiply
    12,770.11x = 19,162.64 × 5,374
  4. Step 4: Simplify right side
    12,770.11x = 102,980,027.36
  5. Step 5: Solve for x
    x = 102,980,027.36/12,770.11
  6. Step 6: Final answer
    x = 8,064.15

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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.