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Finding the Fourth Proportional to 6,890.76, 9,509.36 and 3,906.36

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Solution

The fourth proportional to 6,890.76, 9,509.36 and 3,906.36 is: 5,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.76 : 9,509.36 = 3,906.36 : x
  2. Step 2: Convert to fraction form
    6,890.76/9,509.36 = 3,906.36/x
  3. Step 3: Cross multiply
    6,890.76x = 9,509.36 × 3,906.36
  4. Step 4: Simplify right side
    6,890.76x = 37,146,964.00
  5. Step 5: Solve for x
    x = 37,146,964.00/6,890.76
  6. Step 6: Final answer
    x = 5,390.84

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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.