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Finding the Fourth Proportional to 4,719.86, 7,078.52 and 2,495.70

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Solution

The fourth proportional to 4,719.86, 7,078.52 and 2,495.70 is: 3,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.86 : 7,078.52 = 2,495.70 : x
  2. Step 2: Convert to fraction form
    4,719.86/7,078.52 = 2,495.70/x
  3. Step 3: Cross multiply
    4,719.86x = 7,078.52 × 2,495.70
  4. Step 4: Simplify right side
    4,719.86x = 17,665,862.36
  5. Step 5: Solve for x
    x = 17,665,862.36/4,719.86
  6. Step 6: Final answer
    x = 3,742.88

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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.