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Finding the Fourth Proportional to 16,290, 22,479.12 and 9,118.67

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Solution

The fourth proportional to 16,290, 22,479.12 and 9,118.67 is: 12,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290 : 22,479.12 = 9,118.67 : x
  2. Step 2: Convert to fraction form
    16,290/22,479.12 = 9,118.67/x
  3. Step 3: Cross multiply
    16,290x = 22,479.12 × 9,118.67
  4. Step 4: Simplify right side
    16,290x = 204,979,564.77
  5. Step 5: Solve for x
    x = 204,979,564.77/16,290
  6. Step 6: Final answer
    x = 12,583.15

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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.