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Finding the Fourth Proportional to 6,465.21, 8,921.91 and 3,813.47

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Solution

The fourth proportional to 6,465.21, 8,921.91 and 3,813.47 is: 5,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.21 : 8,921.91 = 3,813.47 : x
  2. Step 2: Convert to fraction form
    6,465.21/8,921.91 = 3,813.47/x
  3. Step 3: Cross multiply
    6,465.21x = 8,921.91 × 3,813.47
  4. Step 4: Simplify right side
    6,465.21x = 34,023,436.13
  5. Step 5: Solve for x
    x = 34,023,436.13/6,465.21
  6. Step 6: Final answer
    x = 5,262.54

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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.