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Finding the Fourth Proportional to 2,570.82, 3,856.25 and 839.45

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Solution

The fourth proportional to 2,570.82, 3,856.25 and 839.45 is: 1,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.82 : 3,856.25 = 839.45 : x
  2. Step 2: Convert to fraction form
    2,570.82/3,856.25 = 839.45/x
  3. Step 3: Cross multiply
    2,570.82x = 3,856.25 × 839.45
  4. Step 4: Simplify right side
    2,570.82x = 3,237,129.06
  5. Step 5: Solve for x
    x = 3,237,129.06/2,570.82
  6. Step 6: Final answer
    x = 1,259.18

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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.