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Finding the Fourth Proportional to 3,422.06, 5,133.09 and 825

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Solution

The fourth proportional to 3,422.06, 5,133.09 and 825 is: 1,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.06 : 5,133.09 = 825 : x
  2. Step 2: Convert to fraction form
    3,422.06/5,133.09 = 825/x
  3. Step 3: Cross multiply
    3,422.06x = 5,133.09 × 825
  4. Step 4: Simplify right side
    3,422.06x = 4,234,801.31
  5. Step 5: Solve for x
    x = 4,234,801.31/3,422.06
  6. Step 6: Final answer
    x = 1,237.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,423.06, 5,134.59 and 826
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.