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Finding the Fourth Proportional to 2,014.12, 3,021.20 and 553.32

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Solution

The fourth proportional to 2,014.12, 3,021.20 and 553.32 is: 829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.12 : 3,021.20 = 553.32 : x
  2. Step 2: Convert to fraction form
    2,014.12/3,021.20 = 553.32/x
  3. Step 3: Cross multiply
    2,014.12x = 3,021.20 × 553.32
  4. Step 4: Simplify right side
    2,014.12x = 1,671,690.38
  5. Step 5: Solve for x
    x = 1,671,690.38/2,014.12
  6. Step 6: Final answer
    x = 829.99

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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.