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Finding the Fourth Proportional to 5,644.87, 7,788.83 and 3,655.17

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Solution

The fourth proportional to 5,644.87, 7,788.83 and 3,655.17 is: 5,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.87 : 7,788.83 = 3,655.17 : x
  2. Step 2: Convert to fraction form
    5,644.87/7,788.83 = 3,655.17/x
  3. Step 3: Cross multiply
    5,644.87x = 7,788.83 × 3,655.17
  4. Step 4: Simplify right side
    5,644.87x = 28,469,479.48
  5. Step 5: Solve for x
    x = 28,469,479.48/5,644.87
  6. Step 6: Final answer
    x = 5,043.43

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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.