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Finding the Fourth Proportional to 20,809.88, 28,715.65 and 11,857.16

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Solution

The fourth proportional to 20,809.88, 28,715.65 and 11,857.16 is: 16,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.88 : 28,715.65 = 11,857.16 : x
  2. Step 2: Convert to fraction form
    20,809.88/28,715.65 = 11,857.16/x
  3. Step 3: Cross multiply
    20,809.88x = 28,715.65 × 11,857.16
  4. Step 4: Simplify right side
    20,809.88x = 340,486,056.55
  5. Step 5: Solve for x
    x = 340,486,056.55/20,809.88
  6. Step 6: Final answer
    x = 16,361.75

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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.