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Finding the Fourth Proportional to 2,906.71, 4,011.24 and 1,580.47

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Solution

The fourth proportional to 2,906.71, 4,011.24 and 1,580.47 is: 2,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.71 : 4,011.24 = 1,580.47 : x
  2. Step 2: Convert to fraction form
    2,906.71/4,011.24 = 1,580.47/x
  3. Step 3: Cross multiply
    2,906.71x = 4,011.24 × 1,580.47
  4. Step 4: Simplify right side
    2,906.71x = 6,339,644.48
  5. Step 5: Solve for x
    x = 6,339,644.48/2,906.71
  6. Step 6: Final answer
    x = 2,181.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.