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Finding the Fourth Proportional to 6,908, 9,533.08 and 3,764.40

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Solution

The fourth proportional to 6,908, 9,533.08 and 3,764.40 is: 5,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908 : 9,533.08 = 3,764.40 : x
  2. Step 2: Convert to fraction form
    6,908/9,533.08 = 3,764.40/x
  3. Step 3: Cross multiply
    6,908x = 9,533.08 × 3,764.40
  4. Step 4: Simplify right side
    6,908x = 35,886,326.35
  5. Step 5: Solve for x
    x = 35,886,326.35/6,908
  6. Step 6: Final answer
    x = 5,194.89

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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.