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Finding the Fourth Proportional to 3,390.36, 5,084.70 and 925.08

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Solution

The fourth proportional to 3,390.36, 5,084.70 and 925.08 is: 1,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.36 : 5,084.70 = 925.08 : x
  2. Step 2: Convert to fraction form
    3,390.36/5,084.70 = 925.08/x
  3. Step 3: Cross multiply
    3,390.36x = 5,084.70 × 925.08
  4. Step 4: Simplify right side
    3,390.36x = 4,703,754.28
  5. Step 5: Solve for x
    x = 4,703,754.28/3,390.36
  6. Step 6: Final answer
    x = 1,387.39

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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.