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Finding the Fourth Proportional to 2,877.26, 4,316.16 and 797.40

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Solution

The fourth proportional to 2,877.26, 4,316.16 and 797.40 is: 1,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.26 : 4,316.16 = 797.40 : x
  2. Step 2: Convert to fraction form
    2,877.26/4,316.16 = 797.40/x
  3. Step 3: Cross multiply
    2,877.26x = 4,316.16 × 797.40
  4. Step 4: Simplify right side
    2,877.26x = 3,441,705.98
  5. Step 5: Solve for x
    x = 3,441,705.98/2,877.26
  6. Step 6: Final answer
    x = 1,196.17

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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.