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Finding the Fourth Proportional to 3,704, 5,534.76 and 2,821.60

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Solution

The fourth proportional to 3,704, 5,534.76 and 2,821.60 is: 4,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704 : 5,534.76 = 2,821.60 : x
  2. Step 2: Convert to fraction form
    3,704/5,534.76 = 2,821.60/x
  3. Step 3: Cross multiply
    3,704x = 5,534.76 × 2,821.60
  4. Step 4: Simplify right side
    3,704x = 15,616,878.82
  5. Step 5: Solve for x
    x = 15,616,878.82/3,704
  6. Step 6: Final answer
    x = 4,216.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.