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Finding the Fourth Proportional to 2,390.80, 3,297.64 and 1,684.12

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Solution

The fourth proportional to 2,390.80, 3,297.64 and 1,684.12 is: 2,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.80 : 3,297.64 = 1,684.12 : x
  2. Step 2: Convert to fraction form
    2,390.80/3,297.64 = 1,684.12/x
  3. Step 3: Cross multiply
    2,390.80x = 3,297.64 × 1,684.12
  4. Step 4: Simplify right side
    2,390.80x = 5,553,621.48
  5. Step 5: Solve for x
    x = 5,553,621.48/2,390.80
  6. Step 6: Final answer
    x = 2,322.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.