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Finding the Fourth Proportional to 2,837.82, 3,915.89 and 1,578.68

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Solution

The fourth proportional to 2,837.82, 3,915.89 and 1,578.68 is: 2,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.82 : 3,915.89 = 1,578.68 : x
  2. Step 2: Convert to fraction form
    2,837.82/3,915.89 = 1,578.68/x
  3. Step 3: Cross multiply
    2,837.82x = 3,915.89 × 1,578.68
  4. Step 4: Simplify right side
    2,837.82x = 6,181,909.75
  5. Step 5: Solve for x
    x = 6,181,909.75/2,837.82
  6. Step 6: Final answer
    x = 2,178.40

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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.