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Finding the Fourth Proportional to 2,014.20, 3,021.16 and 553.24

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Solution

The fourth proportional to 2,014.20, 3,021.16 and 553.24 is: 829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.20 : 3,021.16 = 553.24 : x
  2. Step 2: Convert to fraction form
    2,014.20/3,021.16 = 553.24/x
  3. Step 3: Cross multiply
    2,014.20x = 3,021.16 × 553.24
  4. Step 4: Simplify right side
    2,014.20x = 1,671,426.56
  5. Step 5: Solve for x
    x = 1,671,426.56/2,014.20
  6. Step 6: Final answer
    x = 829.82

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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.