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Finding the Fourth Proportional to 6,873.68, 9,485.66 and 3,889.76

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Solution

The fourth proportional to 6,873.68, 9,485.66 and 3,889.76 is: 5,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.68 : 9,485.66 = 3,889.76 : x
  2. Step 2: Convert to fraction form
    6,873.68/9,485.66 = 3,889.76/x
  3. Step 3: Cross multiply
    6,873.68x = 9,485.66 × 3,889.76
  4. Step 4: Simplify right side
    6,873.68x = 36,896,903.14
  5. Step 5: Solve for x
    x = 36,896,903.14/6,873.68
  6. Step 6: Final answer
    x = 5,367.85

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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.