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Finding the Fourth Proportional to 16,289.06, 22,479 and 9,216.96

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Solution

The fourth proportional to 16,289.06, 22,479 and 9,216.96 is: 12,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.06 : 22,479 = 9,216.96 : x
  2. Step 2: Convert to fraction form
    16,289.06/22,479 = 9,216.96/x
  3. Step 3: Cross multiply
    16,289.06x = 22,479 × 9,216.96
  4. Step 4: Simplify right side
    16,289.06x = 207,188,043.84
  5. Step 5: Solve for x
    x = 207,188,043.84/16,289.06
  6. Step 6: Final answer
    x = 12,719.46

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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.