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Finding the Fourth Proportional to 3,515.71, 4,851.78 and 1,943.86

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Solution

The fourth proportional to 3,515.71, 4,851.78 and 1,943.86 is: 2,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.71 : 4,851.78 = 1,943.86 : x
  2. Step 2: Convert to fraction form
    3,515.71/4,851.78 = 1,943.86/x
  3. Step 3: Cross multiply
    3,515.71x = 4,851.78 × 1,943.86
  4. Step 4: Simplify right side
    3,515.71x = 9,431,181.07
  5. Step 5: Solve for x
    x = 9,431,181.07/3,515.71
  6. Step 6: Final answer
    x = 2,682.58

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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.