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Finding the Fourth Proportional to 2,543.64, 3,813.98 and 788.18

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Solution

The fourth proportional to 2,543.64, 3,813.98 and 788.18 is: 1,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.64 : 3,813.98 = 788.18 : x
  2. Step 2: Convert to fraction form
    2,543.64/3,813.98 = 788.18/x
  3. Step 3: Cross multiply
    2,543.64x = 3,813.98 × 788.18
  4. Step 4: Simplify right side
    2,543.64x = 3,006,083.69
  5. Step 5: Solve for x
    x = 3,006,083.69/2,543.64
  6. Step 6: Final answer
    x = 1,181.80

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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.