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Finding the Fourth Proportional to 2,356.65, 3,533.17 and 1,431.97

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Solution

The fourth proportional to 2,356.65, 3,533.17 and 1,431.97 is: 2,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.65 : 3,533.17 = 1,431.97 : x
  2. Step 2: Convert to fraction form
    2,356.65/3,533.17 = 1,431.97/x
  3. Step 3: Cross multiply
    2,356.65x = 3,533.17 × 1,431.97
  4. Step 4: Simplify right side
    2,356.65x = 5,059,393.44
  5. Step 5: Solve for x
    x = 5,059,393.44/2,356.65
  6. Step 6: Final answer
    x = 2,146.86

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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.