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Finding the Fourth Proportional to 19,957.86, 29,939.87 and 6,807.16

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Solution

The fourth proportional to 19,957.86, 29,939.87 and 6,807.16 is: 10,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.86 : 29,939.87 = 6,807.16 : x
  2. Step 2: Convert to fraction form
    19,957.86/29,939.87 = 6,807.16/x
  3. Step 3: Cross multiply
    19,957.86x = 29,939.87 × 6,807.16
  4. Step 4: Simplify right side
    19,957.86x = 203,805,485.47
  5. Step 5: Solve for x
    x = 203,805,485.47/19,957.86
  6. Step 6: Final answer
    x = 10,211.79

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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.