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Finding the Fourth Proportional to 2,543.25, 3,814.40 and 787.93

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Solution

The fourth proportional to 2,543.25, 3,814.40 and 787.93 is: 1,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.25 : 3,814.40 = 787.93 : x
  2. Step 2: Convert to fraction form
    2,543.25/3,814.40 = 787.93/x
  3. Step 3: Cross multiply
    2,543.25x = 3,814.40 × 787.93
  4. Step 4: Simplify right side
    2,543.25x = 3,005,480.19
  5. Step 5: Solve for x
    x = 3,005,480.19/2,543.25
  6. Step 6: Final answer
    x = 1,181.75

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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.