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Finding the Fourth Proportional to 6,856.32, 9,462.72 and 3,873.36

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Solution

The fourth proportional to 6,856.32, 9,462.72 and 3,873.36 is: 5,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.32 : 9,462.72 = 3,873.36 : x
  2. Step 2: Convert to fraction form
    6,856.32/9,462.72 = 3,873.36/x
  3. Step 3: Cross multiply
    6,856.32x = 9,462.72 × 3,873.36
  4. Step 4: Simplify right side
    6,856.32x = 36,652,521.14
  5. Step 5: Solve for x
    x = 36,652,521.14/6,856.32
  6. Step 6: Final answer
    x = 5,345.80

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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.