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Finding the Fourth Proportional to 2,032.78, 3,048.42 and 800.47

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Solution

The fourth proportional to 2,032.78, 3,048.42 and 800.47 is: 1,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.78 : 3,048.42 = 800.47 : x
  2. Step 2: Convert to fraction form
    2,032.78/3,048.42 = 800.47/x
  3. Step 3: Cross multiply
    2,032.78x = 3,048.42 × 800.47
  4. Step 4: Simplify right side
    2,032.78x = 2,440,168.76
  5. Step 5: Solve for x
    x = 2,440,168.76/2,032.78
  6. Step 6: Final answer
    x = 1,200.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.