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Finding the Fourth Proportional to 9,970, 13,761.84 and 5,777.44

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Solution

The fourth proportional to 9,970, 13,761.84 and 5,777.44 is: 7,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970 : 13,761.84 = 5,777.44 : x
  2. Step 2: Convert to fraction form
    9,970/13,761.84 = 5,777.44/x
  3. Step 3: Cross multiply
    9,970x = 13,761.84 × 5,777.44
  4. Step 4: Simplify right side
    9,970x = 79,508,204.89
  5. Step 5: Solve for x
    x = 79,508,204.89/9,970
  6. Step 6: Final answer
    x = 7,974.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.