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Finding the Fourth Proportional to 5,857.76, 8,786.40 and 1,961.12

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Solution

The fourth proportional to 5,857.76, 8,786.40 and 1,961.12 is: 2,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.76 : 8,786.40 = 1,961.12 : x
  2. Step 2: Convert to fraction form
    5,857.76/8,786.40 = 1,961.12/x
  3. Step 3: Cross multiply
    5,857.76x = 8,786.40 × 1,961.12
  4. Step 4: Simplify right side
    5,857.76x = 17,231,184.77
  5. Step 5: Solve for x
    x = 17,231,184.77/5,857.76
  6. Step 6: Final answer
    x = 2,941.60

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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.