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Finding the Fourth Proportional to 6,128, 8,454.02 and 4,796.36

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Solution

The fourth proportional to 6,128, 8,454.02 and 4,796.36 is: 6,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128 : 8,454.02 = 4,796.36 : x
  2. Step 2: Convert to fraction form
    6,128/8,454.02 = 4,796.36/x
  3. Step 3: Cross multiply
    6,128x = 8,454.02 × 4,796.36
  4. Step 4: Simplify right side
    6,128x = 40,548,523.37
  5. Step 5: Solve for x
    x = 40,548,523.37/6,128
  6. Step 6: Final answer
    x = 6,616.93

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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.