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Finding the Fourth Proportional to 2,570.72, 3,856.34 and 839.66

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Solution

The fourth proportional to 2,570.72, 3,856.34 and 839.66 is: 1,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.72 : 3,856.34 = 839.66 : x
  2. Step 2: Convert to fraction form
    2,570.72/3,856.34 = 839.66/x
  3. Step 3: Cross multiply
    2,570.72x = 3,856.34 × 839.66
  4. Step 4: Simplify right side
    2,570.72x = 3,237,997.26
  5. Step 5: Solve for x
    x = 3,237,997.26/2,570.72
  6. Step 6: Final answer
    x = 1,259.57

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1.5x scale

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.