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Finding the Fourth Proportional to 11,971.68, 16,523.64 and 7,772.64

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Solution

The fourth proportional to 11,971.68, 16,523.64 and 7,772.64 is: 10,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.68 : 16,523.64 = 7,772.64 : x
  2. Step 2: Convert to fraction form
    11,971.68/16,523.64 = 7,772.64/x
  3. Step 3: Cross multiply
    11,971.68x = 16,523.64 × 7,772.64
  4. Step 4: Simplify right side
    11,971.68x = 128,432,305.21
  5. Step 5: Solve for x
    x = 128,432,305.21/11,971.68
  6. Step 6: Final answer
    x = 10,728.01

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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.