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Finding the Fourth Proportional to 2,425.72, 3,639.09 and 783.43

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Solution

The fourth proportional to 2,425.72, 3,639.09 and 783.43 is: 1,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.72 : 3,639.09 = 783.43 : x
  2. Step 2: Convert to fraction form
    2,425.72/3,639.09 = 783.43/x
  3. Step 3: Cross multiply
    2,425.72x = 3,639.09 × 783.43
  4. Step 4: Simplify right side
    2,425.72x = 2,850,972.28
  5. Step 5: Solve for x
    x = 2,850,972.28/2,425.72
  6. Step 6: Final answer
    x = 1,175.31

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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.