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Finding the Fourth Proportional to 13,002.72, 19,506 and 3,767.52

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Solution

The fourth proportional to 13,002.72, 19,506 and 3,767.52 is: 5,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.72 : 19,506 = 3,767.52 : x
  2. Step 2: Convert to fraction form
    13,002.72/19,506 = 3,767.52/x
  3. Step 3: Cross multiply
    13,002.72x = 19,506 × 3,767.52
  4. Step 4: Simplify right side
    13,002.72x = 73,489,245.12
  5. Step 5: Solve for x
    x = 73,489,245.12/13,002.72
  6. Step 6: Final answer
    x = 5,651.84

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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.