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Finding the Fourth Proportional to 2,013.72, 3,020.36 and 552.92

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Solution

The fourth proportional to 2,013.72, 3,020.36 and 552.92 is: 829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.72 : 3,020.36 = 552.92 : x
  2. Step 2: Convert to fraction form
    2,013.72/3,020.36 = 552.92/x
  3. Step 3: Cross multiply
    2,013.72x = 3,020.36 × 552.92
  4. Step 4: Simplify right side
    2,013.72x = 1,670,017.45
  5. Step 5: Solve for x
    x = 1,670,017.45/2,013.72
  6. Step 6: Final answer
    x = 829.32

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1.5x scale

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.