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Finding the Fourth Proportional to 1,842.75, 2,543.00 and 1,057.05

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Solution

The fourth proportional to 1,842.75, 2,543.00 and 1,057.05 is: 1,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.75 : 2,543.00 = 1,057.05 : x
  2. Step 2: Convert to fraction form
    1,842.75/2,543.00 = 1,057.05/x
  3. Step 3: Cross multiply
    1,842.75x = 2,543.00 × 1,057.05
  4. Step 4: Simplify right side
    1,842.75x = 2,688,072.86
  5. Step 5: Solve for x
    x = 2,688,072.86/1,842.75
  6. Step 6: Final answer
    x = 1,458.73

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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.