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Finding the Fourth Proportional to 2,878.42, 4,316.76 and 797.92

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Solution

The fourth proportional to 2,878.42, 4,316.76 and 797.92 is: 1,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.42 : 4,316.76 = 797.92 : x
  2. Step 2: Convert to fraction form
    2,878.42/4,316.76 = 797.92/x
  3. Step 3: Cross multiply
    2,878.42x = 4,316.76 × 797.92
  4. Step 4: Simplify right side
    2,878.42x = 3,444,429.14
  5. Step 5: Solve for x
    x = 3,444,429.14/2,878.42
  6. Step 6: Final answer
    x = 1,196.64

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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.