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Finding the Fourth Proportional to 2,103.78, 2,905.74 and 1,543.44

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Solution

The fourth proportional to 2,103.78, 2,905.74 and 1,543.44 is: 2,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.78 : 2,905.74 = 1,543.44 : x
  2. Step 2: Convert to fraction form
    2,103.78/2,905.74 = 1,543.44/x
  3. Step 3: Cross multiply
    2,103.78x = 2,905.74 × 1,543.44
  4. Step 4: Simplify right side
    2,103.78x = 4,484,835.35
  5. Step 5: Solve for x
    x = 4,484,835.35/2,103.78
  6. Step 6: Final answer
    x = 2,131.80

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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.