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Finding the Fourth Proportional to 2,570.24, 3,855.36 and 839

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Solution

The fourth proportional to 2,570.24, 3,855.36 and 839 is: 1,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.24 : 3,855.36 = 839 : x
  2. Step 2: Convert to fraction form
    2,570.24/3,855.36 = 839/x
  3. Step 3: Cross multiply
    2,570.24x = 3,855.36 × 839
  4. Step 4: Simplify right side
    2,570.24x = 3,234,647.04
  5. Step 5: Solve for x
    x = 3,234,647.04/2,570.24
  6. Step 6: Final answer
    x = 1,258.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,571.24, 3,856.86 and 840
Similar ratio
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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.