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Finding the Fourth Proportional to 13,074, 19,615.32 and 5,278.56

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Solution

The fourth proportional to 13,074, 19,615.32 and 5,278.56 is: 7,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074 : 19,615.32 = 5,278.56 : x
  2. Step 2: Convert to fraction form
    13,074/19,615.32 = 5,278.56/x
  3. Step 3: Cross multiply
    13,074x = 19,615.32 × 5,278.56
  4. Step 4: Simplify right side
    13,074x = 103,540,643.54
  5. Step 5: Solve for x
    x = 103,540,643.54/13,074
  6. Step 6: Final answer
    x = 7,919.58

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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.