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Finding the Fourth Proportional to 2,033.95, 3,051.81 and 802.26

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Solution

The fourth proportional to 2,033.95, 3,051.81 and 802.26 is: 1,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.95 : 3,051.81 = 802.26 : x
  2. Step 2: Convert to fraction form
    2,033.95/3,051.81 = 802.26/x
  3. Step 3: Cross multiply
    2,033.95x = 3,051.81 × 802.26
  4. Step 4: Simplify right side
    2,033.95x = 2,448,345.09
  5. Step 5: Solve for x
    x = 2,448,345.09/2,033.95
  6. Step 6: Final answer
    x = 1,203.74

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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.