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Finding the Fourth Proportional to 6,444, 8,892 and 4,086.72

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Solution

The fourth proportional to 6,444, 8,892 and 4,086.72 is: 5,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444 : 8,892 = 4,086.72 : x
  2. Step 2: Convert to fraction form
    6,444/8,892 = 4,086.72/x
  3. Step 3: Cross multiply
    6,444x = 8,892 × 4,086.72
  4. Step 4: Simplify right side
    6,444x = 36,339,114.24
  5. Step 5: Solve for x
    x = 36,339,114.24/6,444
  6. Step 6: Final answer
    x = 5,639.22

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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.