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Finding the Fourth Proportional to 6,456, 8,905.12 and 3,972.16

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Solution

The fourth proportional to 6,456, 8,905.12 and 3,972.16 is: 5,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456 : 8,905.12 = 3,972.16 : x
  2. Step 2: Convert to fraction form
    6,456/8,905.12 = 3,972.16/x
  3. Step 3: Cross multiply
    6,456x = 8,905.12 × 3,972.16
  4. Step 4: Simplify right side
    6,456x = 35,372,561.46
  5. Step 5: Solve for x
    x = 35,372,561.46/6,456
  6. Step 6: Final answer
    x = 5,479.02

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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.