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Finding the Fourth Proportional to 3,641.28, 5,024.97 and 1,985.28

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Solution

The fourth proportional to 3,641.28, 5,024.97 and 1,985.28 is: 2,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.28 : 5,024.97 = 1,985.28 : x
  2. Step 2: Convert to fraction form
    3,641.28/5,024.97 = 1,985.28/x
  3. Step 3: Cross multiply
    3,641.28x = 5,024.97 × 1,985.28
  4. Step 4: Simplify right side
    3,641.28x = 9,975,972.44
  5. Step 5: Solve for x
    x = 9,975,972.44/3,641.28
  6. Step 6: Final answer
    x = 2,739.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.