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Finding the Fourth Proportional to 16,438.08, 22,679 and 9,359.50

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Solution

The fourth proportional to 16,438.08, 22,679 and 9,359.50 is: 12,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.08 : 22,679 = 9,359.50 : x
  2. Step 2: Convert to fraction form
    16,438.08/22,679 = 9,359.50/x
  3. Step 3: Cross multiply
    16,438.08x = 22,679 × 9,359.50
  4. Step 4: Simplify right side
    16,438.08x = 212,264,100.50
  5. Step 5: Solve for x
    x = 212,264,100.50/16,438.08
  6. Step 6: Final answer
    x = 12,912.95

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1.5x scale

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.