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Finding the Fourth Proportional to 2,802.03, 4,203 and 722.02

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Solution

The fourth proportional to 2,802.03, 4,203 and 722.02 is: 1,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.03 : 4,203 = 722.02 : x
  2. Step 2: Convert to fraction form
    2,802.03/4,203 = 722.02/x
  3. Step 3: Cross multiply
    2,802.03x = 4,203 × 722.02
  4. Step 4: Simplify right side
    2,802.03x = 3,034,650.06
  5. Step 5: Solve for x
    x = 3,034,650.06/2,802.03
  6. Step 6: Final answer
    x = 1,083.02

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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.