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Finding the Fourth Proportional to 2,014.13, 3,020.73 and 553.40

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Solution

The fourth proportional to 2,014.13, 3,020.73 and 553.40 is: 829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.13 : 3,020.73 = 553.40 : x
  2. Step 2: Convert to fraction form
    2,014.13/3,020.73 = 553.40/x
  3. Step 3: Cross multiply
    2,014.13x = 3,020.73 × 553.40
  4. Step 4: Simplify right side
    2,014.13x = 1,671,671.98
  5. Step 5: Solve for x
    x = 1,671,671.98/2,014.13
  6. Step 6: Final answer
    x = 829.97

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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.