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Finding the Fourth Proportional to 1,842.96, 2,543.82 and 1,213.95

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Solution

The fourth proportional to 1,842.96, 2,543.82 and 1,213.95 is: 1,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.96 : 2,543.82 = 1,213.95 : x
  2. Step 2: Convert to fraction form
    1,842.96/2,543.82 = 1,213.95/x
  3. Step 3: Cross multiply
    1,842.96x = 2,543.82 × 1,213.95
  4. Step 4: Simplify right side
    1,842.96x = 3,088,070.29
  5. Step 5: Solve for x
    x = 3,088,070.29/1,842.96
  6. Step 6: Final answer
    x = 1,675.60

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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.