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Finding the Fourth Proportional to 13,598.20, 20,394.84 and 8,653.14

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Solution

The fourth proportional to 13,598.20, 20,394.84 and 8,653.14 is: 12,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.20 : 20,394.84 = 8,653.14 : x
  2. Step 2: Convert to fraction form
    13,598.20/20,394.84 = 8,653.14/x
  3. Step 3: Cross multiply
    13,598.20x = 20,394.84 × 8,653.14
  4. Step 4: Simplify right side
    13,598.20x = 176,479,405.80
  5. Step 5: Solve for x
    x = 176,479,405.80/13,598.20
  6. Step 6: Final answer
    x = 12,978.14

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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.