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Finding the Fourth Proportional to 20,585.70, 30,877.74 and 14,327.64

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Solution

The fourth proportional to 20,585.70, 30,877.74 and 14,327.64 is: 21,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.70 : 30,877.74 = 14,327.64 : x
  2. Step 2: Convert to fraction form
    20,585.70/30,877.74 = 14,327.64/x
  3. Step 3: Cross multiply
    20,585.70x = 30,877.74 × 14,327.64
  4. Step 4: Simplify right side
    20,585.70x = 442,405,142.73
  5. Step 5: Solve for x
    x = 442,405,142.73/20,585.70
  6. Step 6: Final answer
    x = 21,490.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.