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Finding the Fourth Proportional to 5,645.76, 8,461.44 and 2,684.22

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Solution

The fourth proportional to 5,645.76, 8,461.44 and 2,684.22 is: 4,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.76 : 8,461.44 = 2,684.22 : x
  2. Step 2: Convert to fraction form
    5,645.76/8,461.44 = 2,684.22/x
  3. Step 3: Cross multiply
    5,645.76x = 8,461.44 × 2,684.22
  4. Step 4: Simplify right side
    5,645.76x = 22,712,366.48
  5. Step 5: Solve for x
    x = 22,712,366.48/5,645.76
  6. Step 6: Final answer
    x = 4,022.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.