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Finding the Fourth Proportional to 2,013.97, 3,020.82 and 553

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Solution

The fourth proportional to 2,013.97, 3,020.82 and 553 is: 829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.97 : 3,020.82 = 553 : x
  2. Step 2: Convert to fraction form
    2,013.97/3,020.82 = 553/x
  3. Step 3: Cross multiply
    2,013.97x = 3,020.82 × 553
  4. Step 4: Simplify right side
    2,013.97x = 1,670,513.46
  5. Step 5: Solve for x
    x = 1,670,513.46/2,013.97
  6. Step 6: Final answer
    x = 829.46

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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.