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Finding the Fourth Proportional to 9,019.50, 13,523.85 and 3,748.16

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Solution

The fourth proportional to 9,019.50, 13,523.85 and 3,748.16 is: 5,619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,019.50 : 13,523.85 = 3,748.16 : x
  2. Step 2: Convert to fraction form
    9,019.50/13,523.85 = 3,748.16/x
  3. Step 3: Cross multiply
    9,019.50x = 13,523.85 × 3,748.16
  4. Step 4: Simplify right side
    9,019.50x = 50,689,486.00
  5. Step 5: Solve for x
    x = 50,689,486.00/9,019.50
  6. Step 6: Final answer
    x = 5,619.99

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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.