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Finding the Fourth Proportional to 13,530, 20,301.08 and 8,598.36

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Solution

The fourth proportional to 13,530, 20,301.08 and 8,598.36 is: 12,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530 : 20,301.08 = 8,598.36 : x
  2. Step 2: Convert to fraction form
    13,530/20,301.08 = 8,598.36/x
  3. Step 3: Cross multiply
    13,530x = 20,301.08 × 8,598.36
  4. Step 4: Simplify right side
    13,530x = 174,555,994.23
  5. Step 5: Solve for x
    x = 174,555,994.23/13,530
  6. Step 6: Final answer
    x = 12,901.40

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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.