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Finding the Fourth Proportional to 2,190.54, 3,284.73 and 802.83

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Solution

The fourth proportional to 2,190.54, 3,284.73 and 802.83 is: 1,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.54 : 3,284.73 = 802.83 : x
  2. Step 2: Convert to fraction form
    2,190.54/3,284.73 = 802.83/x
  3. Step 3: Cross multiply
    2,190.54x = 3,284.73 × 802.83
  4. Step 4: Simplify right side
    2,190.54x = 2,637,079.79
  5. Step 5: Solve for x
    x = 2,637,079.79/2,190.54
  6. Step 6: Final answer
    x = 1,203.85

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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.