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Finding the Fourth Proportional to 2,821.53, 3,893.69 and 1,562.64

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Solution

The fourth proportional to 2,821.53, 3,893.69 and 1,562.64 is: 2,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.53 : 3,893.69 = 1,562.64 : x
  2. Step 2: Convert to fraction form
    2,821.53/3,893.69 = 1,562.64/x
  3. Step 3: Cross multiply
    2,821.53x = 3,893.69 × 1,562.64
  4. Step 4: Simplify right side
    2,821.53x = 6,084,427.93
  5. Step 5: Solve for x
    x = 6,084,427.93/2,821.53
  6. Step 6: Final answer
    x = 2,156.43

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1.5x scale

Why These Related Problems?

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