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Finding the Fourth Proportional to 3,018.02, 4,527 and 826.90

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Solution

The fourth proportional to 3,018.02, 4,527 and 826.90 is: 1,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.02 : 4,527 = 826.90 : x
  2. Step 2: Convert to fraction form
    3,018.02/4,527 = 826.90/x
  3. Step 3: Cross multiply
    3,018.02x = 4,527 × 826.90
  4. Step 4: Simplify right side
    3,018.02x = 3,743,364.98
  5. Step 5: Solve for x
    x = 3,743,364.98/3,018.02
  6. Step 6: Final answer
    x = 1,240.34

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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.