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Finding the Fourth Proportional to 4,138.02, 6,206.99 and 1,018

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Solution

The fourth proportional to 4,138.02, 6,206.99 and 1,018 is: 1,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.02 : 6,206.99 = 1,018 : x
  2. Step 2: Convert to fraction form
    4,138.02/6,206.99 = 1,018/x
  3. Step 3: Cross multiply
    4,138.02x = 6,206.99 × 1,018
  4. Step 4: Simplify right side
    4,138.02x = 6,318,715.82
  5. Step 5: Solve for x
    x = 6,318,715.82/4,138.02
  6. Step 6: Final answer
    x = 1,526.99

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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.