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Finding the Fourth Proportional to 5,145.87, 7,721.88 and 2,224.17

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Solution

The fourth proportional to 5,145.87, 7,721.88 and 2,224.17 is: 3,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.87 : 7,721.88 = 2,224.17 : x
  2. Step 2: Convert to fraction form
    5,145.87/7,721.88 = 2,224.17/x
  3. Step 3: Cross multiply
    5,145.87x = 7,721.88 × 2,224.17
  4. Step 4: Simplify right side
    5,145.87x = 17,174,773.84
  5. Step 5: Solve for x
    x = 17,174,773.84/5,145.87
  6. Step 6: Final answer
    x = 3,337.58

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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.