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Finding the Fourth Proportional to 9,018, 13,515.12 and 3,817.44

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Solution

The fourth proportional to 9,018, 13,515.12 and 3,817.44 is: 5,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,018 : 13,515.12 = 3,817.44 : x
  2. Step 2: Convert to fraction form
    9,018/13,515.12 = 3,817.44/x
  3. Step 3: Cross multiply
    9,018x = 13,515.12 × 3,817.44
  4. Step 4: Simplify right side
    9,018x = 51,593,159.69
  5. Step 5: Solve for x
    x = 51,593,159.69/9,018
  6. Step 6: Final answer
    x = 5,721.13

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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.