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Finding the Fourth Proportional to 3,392.80, 5,088.51 and 927.41

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Solution

The fourth proportional to 3,392.80, 5,088.51 and 927.41 is: 1,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.80 : 5,088.51 = 927.41 : x
  2. Step 2: Convert to fraction form
    3,392.80/5,088.51 = 927.41/x
  3. Step 3: Cross multiply
    3,392.80x = 5,088.51 × 927.41
  4. Step 4: Simplify right side
    3,392.80x = 4,719,135.06
  5. Step 5: Solve for x
    x = 4,719,135.06/3,392.80
  6. Step 6: Final answer
    x = 1,390.93

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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.