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Finding the Fourth Proportional to 6,319.32, 8,724.36 and 4,197.72

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Solution

The fourth proportional to 6,319.32, 8,724.36 and 4,197.72 is: 5,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.32 : 8,724.36 = 4,197.72 : x
  2. Step 2: Convert to fraction form
    6,319.32/8,724.36 = 4,197.72/x
  3. Step 3: Cross multiply
    6,319.32x = 8,724.36 × 4,197.72
  4. Step 4: Simplify right side
    6,319.32x = 36,622,420.46
  5. Step 5: Solve for x
    x = 36,622,420.46/6,319.32
  6. Step 6: Final answer
    x = 5,795.31

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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.