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Finding the Fourth Proportional to 2,750.05, 4,125.20 and 802.41

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Solution

The fourth proportional to 2,750.05, 4,125.20 and 802.41 is: 1,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.05 : 4,125.20 = 802.41 : x
  2. Step 2: Convert to fraction form
    2,750.05/4,125.20 = 802.41/x
  3. Step 3: Cross multiply
    2,750.05x = 4,125.20 × 802.41
  4. Step 4: Simplify right side
    2,750.05x = 3,310,101.73
  5. Step 5: Solve for x
    x = 3,310,101.73/2,750.05
  6. Step 6: Final answer
    x = 1,203.65

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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.