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Finding the Fourth Proportional to 20,986.44, 31,482.74 and 6,193.44

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Solution

The fourth proportional to 20,986.44, 31,482.74 and 6,193.44 is: 9,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,986.44 : 31,482.74 = 6,193.44 : x
  2. Step 2: Convert to fraction form
    20,986.44/31,482.74 = 6,193.44/x
  3. Step 3: Cross multiply
    20,986.44x = 31,482.74 × 6,193.44
  4. Step 4: Simplify right side
    20,986.44x = 194,986,461.23
  5. Step 5: Solve for x
    x = 194,986,461.23/20,986.44
  6. Step 6: Final answer
    x = 9,291.07

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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.