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Finding the Fourth Proportional to 5,292.93, 7,936.56 and 1,781.78

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Solution

The fourth proportional to 5,292.93, 7,936.56 and 1,781.78 is: 2,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.93 : 7,936.56 = 1,781.78 : x
  2. Step 2: Convert to fraction form
    5,292.93/7,936.56 = 1,781.78/x
  3. Step 3: Cross multiply
    5,292.93x = 7,936.56 × 1,781.78
  4. Step 4: Simplify right side
    5,292.93x = 14,141,164.19
  5. Step 5: Solve for x
    x = 14,141,164.19/5,292.93
  6. Step 6: Final answer
    x = 2,671.71

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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.