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Finding the Fourth Proportional to 2,570.66, 3,856.63 and 1,400.34

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Solution

The fourth proportional to 2,570.66, 3,856.63 and 1,400.34 is: 2,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.66 : 3,856.63 = 1,400.34 : x
  2. Step 2: Convert to fraction form
    2,570.66/3,856.63 = 1,400.34/x
  3. Step 3: Cross multiply
    2,570.66x = 3,856.63 × 1,400.34
  4. Step 4: Simplify right side
    2,570.66x = 5,400,589.75
  5. Step 5: Solve for x
    x = 5,400,589.75/2,570.66
  6. Step 6: Final answer
    x = 2,100.86

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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.