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Finding the Fourth Proportional to 19,658.88, 29,491.52 and 5,809.28

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Solution

The fourth proportional to 19,658.88, 29,491.52 and 5,809.28 is: 8,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.88 : 29,491.52 = 5,809.28 : x
  2. Step 2: Convert to fraction form
    19,658.88/29,491.52 = 5,809.28/x
  3. Step 3: Cross multiply
    19,658.88x = 29,491.52 × 5,809.28
  4. Step 4: Simplify right side
    19,658.88x = 171,324,497.31
  5. Step 5: Solve for x
    x = 171,324,497.31/19,658.88
  6. Step 6: Final answer
    x = 8,714.87

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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.