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Finding the Fourth Proportional to 12,825.64, 17,694.18 and 7,235.56

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Solution

The fourth proportional to 12,825.64, 17,694.18 and 7,235.56 is: 9,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.64 : 17,694.18 = 7,235.56 : x
  2. Step 2: Convert to fraction form
    12,825.64/17,694.18 = 7,235.56/x
  3. Step 3: Cross multiply
    12,825.64x = 17,694.18 × 7,235.56
  4. Step 4: Simplify right side
    12,825.64x = 128,027,301.04
  5. Step 5: Solve for x
    x = 128,027,301.04/12,825.64
  6. Step 6: Final answer
    x = 9,982.14

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1.5x scale

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.