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Finding the Fourth Proportional to 3,298.70, 4,553.07 and 1,973.90

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Solution

The fourth proportional to 3,298.70, 4,553.07 and 1,973.90 is: 2,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.70 : 4,553.07 = 1,973.90 : x
  2. Step 2: Convert to fraction form
    3,298.70/4,553.07 = 1,973.90/x
  3. Step 3: Cross multiply
    3,298.70x = 4,553.07 × 1,973.90
  4. Step 4: Simplify right side
    3,298.70x = 8,987,304.87
  5. Step 5: Solve for x
    x = 8,987,304.87/3,298.70
  6. Step 6: Final answer
    x = 2,724.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.