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Finding the Fourth Proportional to 2,057.08, 3,084.54 and 1,543

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Solution

The fourth proportional to 2,057.08, 3,084.54 and 1,543 is: 2,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.08 : 3,084.54 = 1,543 : x
  2. Step 2: Convert to fraction form
    2,057.08/3,084.54 = 1,543/x
  3. Step 3: Cross multiply
    2,057.08x = 3,084.54 × 1,543
  4. Step 4: Simplify right side
    2,057.08x = 4,759,445.22
  5. Step 5: Solve for x
    x = 4,759,445.22/2,057.08
  6. Step 6: Final answer
    x = 2,313.69

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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.