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Finding the Fourth Proportional to 2,837.76, 3,915.99 and 1,578.75

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Solution

The fourth proportional to 2,837.76, 3,915.99 and 1,578.75 is: 2,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.76 : 3,915.99 = 1,578.75 : x
  2. Step 2: Convert to fraction form
    2,837.76/3,915.99 = 1,578.75/x
  3. Step 3: Cross multiply
    2,837.76x = 3,915.99 × 1,578.75
  4. Step 4: Simplify right side
    2,837.76x = 6,182,369.21
  5. Step 5: Solve for x
    x = 6,182,369.21/2,837.76
  6. Step 6: Final answer
    x = 2,178.61

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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.