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Finding the Fourth Proportional to 16,480.80, 22,739.76 and 9,406.08

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Solution

The fourth proportional to 16,480.80, 22,739.76 and 9,406.08 is: 12,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.80 : 22,739.76 = 9,406.08 : x
  2. Step 2: Convert to fraction form
    16,480.80/22,739.76 = 9,406.08/x
  3. Step 3: Cross multiply
    16,480.80x = 22,739.76 × 9,406.08
  4. Step 4: Simplify right side
    16,480.80x = 213,892,001.74
  5. Step 5: Solve for x
    x = 213,892,001.74/16,480.80
  6. Step 6: Final answer
    x = 12,978.25

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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.