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Finding the Fourth Proportional to 2,042.78, 2,820 and 1,203.22

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Solution

The fourth proportional to 2,042.78, 2,820 and 1,203.22 is: 1,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.78 : 2,820 = 1,203.22 : x
  2. Step 2: Convert to fraction form
    2,042.78/2,820 = 1,203.22/x
  3. Step 3: Cross multiply
    2,042.78x = 2,820 × 1,203.22
  4. Step 4: Simplify right side
    2,042.78x = 3,393,080.40
  5. Step 5: Solve for x
    x = 3,393,080.40/2,042.78
  6. Step 6: Final answer
    x = 1,661.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.