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Finding the Fourth Proportional to 3,478.52, 5,216.07 and 1,721.49

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Solution

The fourth proportional to 3,478.52, 5,216.07 and 1,721.49 is: 2,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.52 : 5,216.07 = 1,721.49 : x
  2. Step 2: Convert to fraction form
    3,478.52/5,216.07 = 1,721.49/x
  3. Step 3: Cross multiply
    3,478.52x = 5,216.07 × 1,721.49
  4. Step 4: Simplify right side
    3,478.52x = 8,979,412.34
  5. Step 5: Solve for x
    x = 8,979,412.34/3,478.52
  6. Step 6: Final answer
    x = 2,581.39

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1.5x scale

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.