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Finding the Fourth Proportional to 2,425, 3,637.62 and 781.42

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Solution

The fourth proportional to 2,425, 3,637.62 and 781.42 is: 1,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425 : 3,637.62 = 781.42 : x
  2. Step 2: Convert to fraction form
    2,425/3,637.62 = 781.42/x
  3. Step 3: Cross multiply
    2,425x = 3,637.62 × 781.42
  4. Step 4: Simplify right side
    2,425x = 2,842,509.02
  5. Step 5: Solve for x
    x = 2,842,509.02/2,425
  6. Step 6: Final answer
    x = 1,172.17

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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.