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Finding the Fourth Proportional to 3,092.71, 4,639.10 and 1,705.78

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Solution

The fourth proportional to 3,092.71, 4,639.10 and 1,705.78 is: 2,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.71 : 4,639.10 = 1,705.78 : x
  2. Step 2: Convert to fraction form
    3,092.71/4,639.10 = 1,705.78/x
  3. Step 3: Cross multiply
    3,092.71x = 4,639.10 × 1,705.78
  4. Step 4: Simplify right side
    3,092.71x = 7,913,252.27
  5. Step 5: Solve for x
    x = 7,913,252.27/3,092.71
  6. Step 6: Final answer
    x = 2,558.68

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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.