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Finding the Fourth Proportional to 14,145.32, 19,511.56 and 8,692

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Solution

The fourth proportional to 14,145.32, 19,511.56 and 8,692 is: 11,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.32 : 19,511.56 = 8,692 : x
  2. Step 2: Convert to fraction form
    14,145.32/19,511.56 = 8,692/x
  3. Step 3: Cross multiply
    14,145.32x = 19,511.56 × 8,692
  4. Step 4: Simplify right side
    14,145.32x = 169,594,479.52
  5. Step 5: Solve for x
    x = 169,594,479.52/14,145.32
  6. Step 6: Final answer
    x = 11,989.44

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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.