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Finding the Fourth Proportional to 3,812.88, 5,715.24 and 1,619.76

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Solution

The fourth proportional to 3,812.88, 5,715.24 and 1,619.76 is: 2,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.88 : 5,715.24 = 1,619.76 : x
  2. Step 2: Convert to fraction form
    3,812.88/5,715.24 = 1,619.76/x
  3. Step 3: Cross multiply
    3,812.88x = 5,715.24 × 1,619.76
  4. Step 4: Simplify right side
    3,812.88x = 9,257,317.14
  5. Step 5: Solve for x
    x = 9,257,317.14/3,812.88
  6. Step 6: Final answer
    x = 2,427.91

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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.