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Finding the Fourth Proportional to 16,478.66, 22,742.98 and 9,406.82

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Solution

The fourth proportional to 16,478.66, 22,742.98 and 9,406.82 is: 12,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.66 : 22,742.98 = 9,406.82 : x
  2. Step 2: Convert to fraction form
    16,478.66/22,742.98 = 9,406.82/x
  3. Step 3: Cross multiply
    16,478.66x = 22,742.98 × 9,406.82
  4. Step 4: Simplify right side
    16,478.66x = 213,939,119.12
  5. Step 5: Solve for x
    x = 213,939,119.12/16,478.66
  6. Step 6: Final answer
    x = 12,982.80

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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.