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Finding the Fourth Proportional to 3,470.54, 5,199.96 and 1,713.20

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Solution

The fourth proportional to 3,470.54, 5,199.96 and 1,713.20 is: 2,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.54 : 5,199.96 = 1,713.20 : x
  2. Step 2: Convert to fraction form
    3,470.54/5,199.96 = 1,713.20/x
  3. Step 3: Cross multiply
    3,470.54x = 5,199.96 × 1,713.20
  4. Step 4: Simplify right side
    3,470.54x = 8,908,571.47
  5. Step 5: Solve for x
    x = 8,908,571.47/3,470.54
  6. Step 6: Final answer
    x = 2,566.91

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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.