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Finding the Fourth Proportional to 5,611.24, 8,415 and 1,862.15

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Solution

The fourth proportional to 5,611.24, 8,415 and 1,862.15 is: 2,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.24 : 8,415 = 1,862.15 : x
  2. Step 2: Convert to fraction form
    5,611.24/8,415 = 1,862.15/x
  3. Step 3: Cross multiply
    5,611.24x = 8,415 × 1,862.15
  4. Step 4: Simplify right side
    5,611.24x = 15,669,992.25
  5. Step 5: Solve for x
    x = 15,669,992.25/5,611.24
  6. Step 6: Final answer
    x = 2,792.61

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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.