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Finding the Fourth Proportional to 6,393.42, 8,824.05 and 5,077.17

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Solution

The fourth proportional to 6,393.42, 8,824.05 and 5,077.17 is: 7,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.42 : 8,824.05 = 5,077.17 : x
  2. Step 2: Convert to fraction form
    6,393.42/8,824.05 = 5,077.17/x
  3. Step 3: Cross multiply
    6,393.42x = 8,824.05 × 5,077.17
  4. Step 4: Simplify right side
    6,393.42x = 44,801,201.94
  5. Step 5: Solve for x
    x = 44,801,201.94/6,393.42
  6. Step 6: Final answer
    x = 7,007.39

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1.5x scale

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.