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Finding the Fourth Proportional to 2,425.53, 3,637.53 and 781.73

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Solution

The fourth proportional to 2,425.53, 3,637.53 and 781.73 is: 1,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.53 : 3,637.53 = 781.73 : x
  2. Step 2: Convert to fraction form
    2,425.53/3,637.53 = 781.73/x
  3. Step 3: Cross multiply
    2,425.53x = 3,637.53 × 781.73
  4. Step 4: Simplify right side
    2,425.53x = 2,843,548.14
  5. Step 5: Solve for x
    x = 2,843,548.14/2,425.53
  6. Step 6: Final answer
    x = 1,172.34

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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.