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Finding the Fourth Proportional to 3,578.64, 5,368.24 and 1,821.12

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Solution

The fourth proportional to 3,578.64, 5,368.24 and 1,821.12 is: 2,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.64 : 5,368.24 = 1,821.12 : x
  2. Step 2: Convert to fraction form
    3,578.64/5,368.24 = 1,821.12/x
  3. Step 3: Cross multiply
    3,578.64x = 5,368.24 × 1,821.12
  4. Step 4: Simplify right side
    3,578.64x = 9,776,209.23
  5. Step 5: Solve for x
    x = 9,776,209.23/3,578.64
  6. Step 6: Final answer
    x = 2,731.82

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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.