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Finding the Fourth Proportional to 16,642.86, 22,957.47 and 11,928.30

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Solution

The fourth proportional to 16,642.86, 22,957.47 and 11,928.30 is: 16,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.86 : 22,957.47 = 11,928.30 : x
  2. Step 2: Convert to fraction form
    16,642.86/22,957.47 = 11,928.30/x
  3. Step 3: Cross multiply
    16,642.86x = 22,957.47 × 11,928.30
  4. Step 4: Simplify right side
    16,642.86x = 273,843,589.40
  5. Step 5: Solve for x
    x = 273,843,589.40/16,642.86
  6. Step 6: Final answer
    x = 16,454.12

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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.