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Finding the Fourth Proportional to 2,186.00, 3,280.47 and 952.70

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Solution

The fourth proportional to 2,186.00, 3,280.47 and 952.70 is: 1,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.00 : 3,280.47 = 952.70 : x
  2. Step 2: Convert to fraction form
    2,186.00/3,280.47 = 952.70/x
  3. Step 3: Cross multiply
    2,186.00x = 3,280.47 × 952.70
  4. Step 4: Simplify right side
    2,186.00x = 3,125,287.37
  5. Step 5: Solve for x
    x = 3,125,287.37/2,186.00
  6. Step 6: Final answer
    x = 1,429.69

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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.