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Finding the Fourth Proportional to 25,822, 35,628.87 and 15,207.76

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Solution

The fourth proportional to 25,822, 35,628.87 and 15,207.76 is: 20,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822 : 35,628.87 = 15,207.76 : x
  2. Step 2: Convert to fraction form
    25,822/35,628.87 = 15,207.76/x
  3. Step 3: Cross multiply
    25,822x = 35,628.87 × 15,207.76
  4. Step 4: Simplify right side
    25,822x = 541,835,304.03
  5. Step 5: Solve for x
    x = 541,835,304.03/25,822
  6. Step 6: Final answer
    x = 20,983.48

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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.