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Finding the Fourth Proportional to 19,978, 29,935.32 and 13,379.92

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Solution

The fourth proportional to 19,978, 29,935.32 and 13,379.92 is: 20,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978 : 29,935.32 = 13,379.92 : x
  2. Step 2: Convert to fraction form
    19,978/29,935.32 = 13,379.92/x
  3. Step 3: Cross multiply
    19,978x = 29,935.32 × 13,379.92
  4. Step 4: Simplify right side
    19,978x = 400,532,186.77
  5. Step 5: Solve for x
    x = 400,532,186.77/19,978
  6. Step 6: Final answer
    x = 20,048.66

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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.