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Finding the Fourth Proportional to 16,290, 22,482 and 9,216.36

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Solution

The fourth proportional to 16,290, 22,482 and 9,216.36 is: 12,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290 : 22,482 = 9,216.36 : x
  2. Step 2: Convert to fraction form
    16,290/22,482 = 9,216.36/x
  3. Step 3: Cross multiply
    16,290x = 22,482 × 9,216.36
  4. Step 4: Simplify right side
    16,290x = 207,202,205.52
  5. Step 5: Solve for x
    x = 207,202,205.52/16,290
  6. Step 6: Final answer
    x = 12,719.60

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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.