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Finding the Fourth Proportional to 14,074, 19,420.44 and 7,785.52

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Solution

The fourth proportional to 14,074, 19,420.44 and 7,785.52 is: 10,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074 : 19,420.44 = 7,785.52 : x
  2. Step 2: Convert to fraction form
    14,074/19,420.44 = 7,785.52/x
  3. Step 3: Cross multiply
    14,074x = 19,420.44 × 7,785.52
  4. Step 4: Simplify right side
    14,074x = 151,198,224.03
  5. Step 5: Solve for x
    x = 151,198,224.03/14,074
  6. Step 6: Final answer
    x = 10,743.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.