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Finding the Fourth Proportional to 6,506.25, 8,978.64 and 3,711.75

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Solution

The fourth proportional to 6,506.25, 8,978.64 and 3,711.75 is: 5,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.25 : 8,978.64 = 3,711.75 : x
  2. Step 2: Convert to fraction form
    6,506.25/8,978.64 = 3,711.75/x
  3. Step 3: Cross multiply
    6,506.25x = 8,978.64 × 3,711.75
  4. Step 4: Simplify right side
    6,506.25x = 33,326,467.02
  5. Step 5: Solve for x
    x = 33,326,467.02/6,506.25
  6. Step 6: Final answer
    x = 5,122.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.