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Finding the Fourth Proportional to 13,632.64, 20,449.14 and 4,868.08

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Solution

The fourth proportional to 13,632.64, 20,449.14 and 4,868.08 is: 7,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.64 : 20,449.14 = 4,868.08 : x
  2. Step 2: Convert to fraction form
    13,632.64/20,449.14 = 4,868.08/x
  3. Step 3: Cross multiply
    13,632.64x = 20,449.14 × 4,868.08
  4. Step 4: Simplify right side
    13,632.64x = 99,548,049.45
  5. Step 5: Solve for x
    x = 99,548,049.45/13,632.64
  6. Step 6: Final answer
    x = 7,302.18

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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.