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Finding the Fourth Proportional to 1,719.78, 2,578.78 and 1,225.90

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Solution

The fourth proportional to 1,719.78, 2,578.78 and 1,225.90 is: 1,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.78 : 2,578.78 = 1,225.90 : x
  2. Step 2: Convert to fraction form
    1,719.78/2,578.78 = 1,225.90/x
  3. Step 3: Cross multiply
    1,719.78x = 2,578.78 × 1,225.90
  4. Step 4: Simplify right side
    1,719.78x = 3,161,326.40
  5. Step 5: Solve for x
    x = 3,161,326.40/1,719.78
  6. Step 6: Final answer
    x = 1,838.22

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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.