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Finding the Fourth Proportional to 11,951.93, 16,485 and 9,216.35

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Solution

The fourth proportional to 11,951.93, 16,485 and 9,216.35 is: 12,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.93 : 16,485 = 9,216.35 : x
  2. Step 2: Convert to fraction form
    11,951.93/16,485 = 9,216.35/x
  3. Step 3: Cross multiply
    11,951.93x = 16,485 × 9,216.35
  4. Step 4: Simplify right side
    11,951.93x = 151,931,447.33
  5. Step 5: Solve for x
    x = 151,931,447.33/11,951.93
  6. Step 6: Final answer
    x = 12,711.88

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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.