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Finding the Fourth Proportional to 16,251, 22,427.34 and 9,178.20

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Solution

The fourth proportional to 16,251, 22,427.34 and 9,178.20 is: 12,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251 : 22,427.34 = 9,178.20 : x
  2. Step 2: Convert to fraction form
    16,251/22,427.34 = 9,178.20/x
  3. Step 3: Cross multiply
    16,251x = 22,427.34 × 9,178.20
  4. Step 4: Simplify right side
    16,251x = 205,842,611.99
  5. Step 5: Solve for x
    x = 205,842,611.99/16,251
  6. Step 6: Final answer
    x = 12,666.46

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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.