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Finding the Fourth Proportional to 19,679.68, 29,511.84 and 8,728

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Solution

The fourth proportional to 19,679.68, 29,511.84 and 8,728 is: 13,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.68 : 29,511.84 = 8,728 : x
  2. Step 2: Convert to fraction form
    19,679.68/29,511.84 = 8,728/x
  3. Step 3: Cross multiply
    19,679.68x = 29,511.84 × 8,728
  4. Step 4: Simplify right side
    19,679.68x = 257,579,339.52
  5. Step 5: Solve for x
    x = 257,579,339.52/19,679.68
  6. Step 6: Final answer
    x = 13,088.59

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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.