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Finding the Fourth Proportional to 13,653.38, 20,485 and 4,770.02

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Solution

The fourth proportional to 13,653.38, 20,485 and 4,770.02 is: 7,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.38 : 20,485 = 4,770.02 : x
  2. Step 2: Convert to fraction form
    13,653.38/20,485 = 4,770.02/x
  3. Step 3: Cross multiply
    13,653.38x = 20,485 × 4,770.02
  4. Step 4: Simplify right side
    13,653.38x = 97,713,859.70
  5. Step 5: Solve for x
    x = 97,713,859.70/13,653.38
  6. Step 6: Final answer
    x = 7,156.75

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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.