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Finding the Fourth Proportional to 15,018, 22,511.88 and 6,257.76

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Solution

The fourth proportional to 15,018, 22,511.88 and 6,257.76 is: 9,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,018 : 22,511.88 = 6,257.76 : x
  2. Step 2: Convert to fraction form
    15,018/22,511.88 = 6,257.76/x
  3. Step 3: Cross multiply
    15,018x = 22,511.88 × 6,257.76
  4. Step 4: Simplify right side
    15,018x = 140,873,942.19
  5. Step 5: Solve for x
    x = 140,873,942.19/15,018
  6. Step 6: Final answer
    x = 9,380.34

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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.