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Finding the Fourth Proportional to 21,646.16, 32,474.16 and 6,856

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Solution

The fourth proportional to 21,646.16, 32,474.16 and 6,856 is: 10,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.16 : 32,474.16 = 6,856 : x
  2. Step 2: Convert to fraction form
    21,646.16/32,474.16 = 6,856/x
  3. Step 3: Cross multiply
    21,646.16x = 32,474.16 × 6,856
  4. Step 4: Simplify right side
    21,646.16x = 222,642,840.96
  5. Step 5: Solve for x
    x = 222,642,840.96/21,646.16
  6. Step 6: Final answer
    x = 10,285.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.