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Finding the Fourth Proportional to 2,553.16, 3,828.93 and 993.06

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Solution

The fourth proportional to 2,553.16, 3,828.93 and 993.06 is: 1,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.16 : 3,828.93 = 993.06 : x
  2. Step 2: Convert to fraction form
    2,553.16/3,828.93 = 993.06/x
  3. Step 3: Cross multiply
    2,553.16x = 3,828.93 × 993.06
  4. Step 4: Simplify right side
    2,553.16x = 3,802,357.23
  5. Step 5: Solve for x
    x = 3,802,357.23/2,553.16
  6. Step 6: Final answer
    x = 1,489.27

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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.