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Finding the Fourth Proportional to 2,425.14, 3,637.76 and 781.83

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Solution

The fourth proportional to 2,425.14, 3,637.76 and 781.83 is: 1,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.14 : 3,637.76 = 781.83 : x
  2. Step 2: Convert to fraction form
    2,425.14/3,637.76 = 781.83/x
  3. Step 3: Cross multiply
    2,425.14x = 3,637.76 × 781.83
  4. Step 4: Simplify right side
    2,425.14x = 2,844,105.99
  5. Step 5: Solve for x
    x = 2,844,105.99/2,425.14
  6. Step 6: Final answer
    x = 1,172.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.