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Finding the Fourth Proportional to 19,944, 29,840.76 and 11,908.98

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Solution

The fourth proportional to 19,944, 29,840.76 and 11,908.98 is: 17,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,944 : 29,840.76 = 11,908.98 : x
  2. Step 2: Convert to fraction form
    19,944/29,840.76 = 11,908.98/x
  3. Step 3: Cross multiply
    19,944x = 29,840.76 × 11,908.98
  4. Step 4: Simplify right side
    19,944x = 355,373,014.02
  5. Step 5: Solve for x
    x = 355,373,014.02/19,944
  6. Step 6: Final answer
    x = 17,818.54

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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.