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Finding the Fourth Proportional to 2,570.31, 3,848.31 and 1,690.11

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Solution

The fourth proportional to 2,570.31, 3,848.31 and 1,690.11 is: 2,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.31 : 3,848.31 = 1,690.11 : x
  2. Step 2: Convert to fraction form
    2,570.31/3,848.31 = 1,690.11/x
  3. Step 3: Cross multiply
    2,570.31x = 3,848.31 × 1,690.11
  4. Step 4: Simplify right side
    2,570.31x = 6,504,067.21
  5. Step 5: Solve for x
    x = 6,504,067.21/2,570.31
  6. Step 6: Final answer
    x = 2,530.46

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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.