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Finding the Fourth Proportional to 21,178, 31,760.60 and 6,385.68

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Solution

The fourth proportional to 21,178, 31,760.60 and 6,385.68 is: 9,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178 : 31,760.60 = 6,385.68 : x
  2. Step 2: Convert to fraction form
    21,178/31,760.60 = 6,385.68/x
  3. Step 3: Cross multiply
    21,178x = 31,760.60 × 6,385.68
  4. Step 4: Simplify right side
    21,178x = 202,813,028.21
  5. Step 5: Solve for x
    x = 202,813,028.21/21,178
  6. Step 6: Final answer
    x = 9,576.59

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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.