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Finding the Fourth Proportional to 2,089.16, 3,133.74 and 628.31

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Solution

The fourth proportional to 2,089.16, 3,133.74 and 628.31 is: 942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.16 : 3,133.74 = 628.31 : x
  2. Step 2: Convert to fraction form
    2,089.16/3,133.74 = 628.31/x
  3. Step 3: Cross multiply
    2,089.16x = 3,133.74 × 628.31
  4. Step 4: Simplify right side
    2,089.16x = 1,968,960.18
  5. Step 5: Solve for x
    x = 1,968,960.18/2,089.16
  6. Step 6: Final answer
    x = 942.47

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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.