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Finding the Fourth Proportional to 5,760.63, 8,640.93 and 3,812.39

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Solution

The fourth proportional to 5,760.63, 8,640.93 and 3,812.39 is: 5,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.63 : 8,640.93 = 3,812.39 : x
  2. Step 2: Convert to fraction form
    5,760.63/8,640.93 = 3,812.39/x
  3. Step 3: Cross multiply
    5,760.63x = 8,640.93 × 3,812.39
  4. Step 4: Simplify right side
    5,760.63x = 32,942,551.92
  5. Step 5: Solve for x
    x = 32,942,551.92/5,760.63
  6. Step 6: Final answer
    x = 5,718.57

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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.