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Finding the Fourth Proportional to 20,597.87, 30,922.04 and 13,583.74

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Solution

The fourth proportional to 20,597.87, 30,922.04 and 13,583.74 is: 20,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.87 : 30,922.04 = 13,583.74 : x
  2. Step 2: Convert to fraction form
    20,597.87/30,922.04 = 13,583.74/x
  3. Step 3: Cross multiply
    20,597.87x = 30,922.04 × 13,583.74
  4. Step 4: Simplify right side
    20,597.87x = 420,036,908.28
  5. Step 5: Solve for x
    x = 420,036,908.28/20,597.87
  6. Step 6: Final answer
    x = 20,392.25

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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.