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Finding the Fourth Proportional to 3,490.80, 5,208.78 and 2,914.80

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Solution

The fourth proportional to 3,490.80, 5,208.78 and 2,914.80 is: 4,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.80 : 5,208.78 = 2,914.80 : x
  2. Step 2: Convert to fraction form
    3,490.80/5,208.78 = 2,914.80/x
  3. Step 3: Cross multiply
    3,490.80x = 5,208.78 × 2,914.80
  4. Step 4: Simplify right side
    3,490.80x = 15,182,551.94
  5. Step 5: Solve for x
    x = 15,182,551.94/3,490.80
  6. Step 6: Final answer
    x = 4,349.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.