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Finding the Fourth Proportional to 2,425.00, 3,637.51 and 865.07

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Solution

The fourth proportional to 2,425.00, 3,637.51 and 865.07 is: 1,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.00 : 3,637.51 = 865.07 : x
  2. Step 2: Convert to fraction form
    2,425.00/3,637.51 = 865.07/x
  3. Step 3: Cross multiply
    2,425.00x = 3,637.51 × 865.07
  4. Step 4: Simplify right side
    2,425.00x = 3,146,680.43
  5. Step 5: Solve for x
    x = 3,146,680.43/2,425.00
  6. Step 6: Final answer
    x = 1,297.60

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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.