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Finding the Fourth Proportional to 5,092.78, 7,639.17 and 1,804.09

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Solution

The fourth proportional to 5,092.78, 7,639.17 and 1,804.09 is: 2,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.78 : 7,639.17 = 1,804.09 : x
  2. Step 2: Convert to fraction form
    5,092.78/7,639.17 = 1,804.09/x
  3. Step 3: Cross multiply
    5,092.78x = 7,639.17 × 1,804.09
  4. Step 4: Simplify right side
    5,092.78x = 13,781,750.21
  5. Step 5: Solve for x
    x = 13,781,750.21/5,092.78
  6. Step 6: Final answer
    x = 2,706.14

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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.