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Finding the Fourth Proportional to 20,978.16, 31,472.64 and 6,186.48

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Solution

The fourth proportional to 20,978.16, 31,472.64 and 6,186.48 is: 9,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.16 : 31,472.64 = 6,186.48 : x
  2. Step 2: Convert to fraction form
    20,978.16/31,472.64 = 6,186.48/x
  3. Step 3: Cross multiply
    20,978.16x = 31,472.64 × 6,186.48
  4. Step 4: Simplify right side
    20,978.16x = 194,704,857.91
  5. Step 5: Solve for x
    x = 194,704,857.91/20,978.16
  6. Step 6: Final answer
    x = 9,281.31

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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.