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Finding the Fourth Proportional to 2,570.76, 3,856.14 and 839.52

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Solution

The fourth proportional to 2,570.76, 3,856.14 and 839.52 is: 1,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.76 : 3,856.14 = 839.52 : x
  2. Step 2: Convert to fraction form
    2,570.76/3,856.14 = 839.52/x
  3. Step 3: Cross multiply
    2,570.76x = 3,856.14 × 839.52
  4. Step 4: Simplify right side
    2,570.76x = 3,237,306.65
  5. Step 5: Solve for x
    x = 3,237,306.65/2,570.76
  6. Step 6: Final answer
    x = 1,259.28

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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.