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Finding the Fourth Proportional to 25,659, 35,405.10 and 17,147.43

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Solution

The fourth proportional to 25,659, 35,405.10 and 17,147.43 is: 23,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659 : 35,405.10 = 17,147.43 : x
  2. Step 2: Convert to fraction form
    25,659/35,405.10 = 17,147.43/x
  3. Step 3: Cross multiply
    25,659x = 35,405.10 × 17,147.43
  4. Step 4: Simplify right side
    25,659x = 607,106,473.89
  5. Step 5: Solve for x
    x = 607,106,473.89/25,659
  6. Step 6: Final answer
    x = 23,660.57

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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.