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Finding the Fourth Proportional to 3,470.78, 5,208.68 and 1,362.72

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Solution

The fourth proportional to 3,470.78, 5,208.68 and 1,362.72 is: 2,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.78 : 5,208.68 = 1,362.72 : x
  2. Step 2: Convert to fraction form
    3,470.78/5,208.68 = 1,362.72/x
  3. Step 3: Cross multiply
    3,470.78x = 5,208.68 × 1,362.72
  4. Step 4: Simplify right side
    3,470.78x = 7,097,972.41
  5. Step 5: Solve for x
    x = 7,097,972.41/3,470.78
  6. Step 6: Final answer
    x = 2,045.07

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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.