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Finding the Fourth Proportional to 12,933.74, 19,386.80 and 7,375.11

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Solution

The fourth proportional to 12,933.74, 19,386.80 and 7,375.11 is: 11,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.74 : 19,386.80 = 7,375.11 : x
  2. Step 2: Convert to fraction form
    12,933.74/19,386.80 = 7,375.11/x
  3. Step 3: Cross multiply
    12,933.74x = 19,386.80 × 7,375.11
  4. Step 4: Simplify right side
    12,933.74x = 142,979,782.55
  5. Step 5: Solve for x
    x = 142,979,782.55/12,933.74
  6. Step 6: Final answer
    x = 11,054.79

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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.