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Finding the Fourth Proportional to 1,990.85, 2,746.05 and 1,543.89

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Solution

The fourth proportional to 1,990.85, 2,746.05 and 1,543.89 is: 2,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.85 : 2,746.05 = 1,543.89 : x
  2. Step 2: Convert to fraction form
    1,990.85/2,746.05 = 1,543.89/x
  3. Step 3: Cross multiply
    1,990.85x = 2,746.05 × 1,543.89
  4. Step 4: Simplify right side
    1,990.85x = 4,239,589.16
  5. Step 5: Solve for x
    x = 4,239,589.16/1,990.85
  6. Step 6: Final answer
    x = 2,129.53

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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.