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Finding the Fourth Proportional to 2,543.36, 3,815.04 and 788.36

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Solution

The fourth proportional to 2,543.36, 3,815.04 and 788.36 is: 1,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.36 : 3,815.04 = 788.36 : x
  2. Step 2: Convert to fraction form
    2,543.36/3,815.04 = 788.36/x
  3. Step 3: Cross multiply
    2,543.36x = 3,815.04 × 788.36
  4. Step 4: Simplify right side
    2,543.36x = 3,007,624.93
  5. Step 5: Solve for x
    x = 3,007,624.93/2,543.36
  6. Step 6: Final answer
    x = 1,182.54

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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.