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Finding the Fourth Proportional to 2,014.10, 3,021.12 and 553.25

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Solution

The fourth proportional to 2,014.10, 3,021.12 and 553.25 is: 829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.10 : 3,021.12 = 553.25 : x
  2. Step 2: Convert to fraction form
    2,014.10/3,021.12 = 553.25/x
  3. Step 3: Cross multiply
    2,014.10x = 3,021.12 × 553.25
  4. Step 4: Simplify right side
    2,014.10x = 1,671,434.64
  5. Step 5: Solve for x
    x = 1,671,434.64/2,014.10
  6. Step 6: Final answer
    x = 829.87

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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.