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Finding the Fourth Proportional to 5,150, 7,107.02 and 3,054.52

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Solution

The fourth proportional to 5,150, 7,107.02 and 3,054.52 is: 4,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150 : 7,107.02 = 3,054.52 : x
  2. Step 2: Convert to fraction form
    5,150/7,107.02 = 3,054.52/x
  3. Step 3: Cross multiply
    5,150x = 7,107.02 × 3,054.52
  4. Step 4: Simplify right side
    5,150x = 21,708,534.73
  5. Step 5: Solve for x
    x = 21,708,534.73/5,150
  6. Step 6: Final answer
    x = 4,215.25

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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.