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Finding the Fourth Proportional to 2,540.51, 3,809.75 and 1,719.02

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Solution

The fourth proportional to 2,540.51, 3,809.75 and 1,719.02 is: 2,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.51 : 3,809.75 = 1,719.02 : x
  2. Step 2: Convert to fraction form
    2,540.51/3,809.75 = 1,719.02/x
  3. Step 3: Cross multiply
    2,540.51x = 3,809.75 × 1,719.02
  4. Step 4: Simplify right side
    2,540.51x = 6,549,036.45
  5. Step 5: Solve for x
    x = 6,549,036.45/2,540.51
  6. Step 6: Final answer
    x = 2,577.84

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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.