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Finding the Fourth Proportional to 2,059.42, 2,842 and 1,127.92

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Solution

The fourth proportional to 2,059.42, 2,842 and 1,127.92 is: 1,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.42 : 2,842 = 1,127.92 : x
  2. Step 2: Convert to fraction form
    2,059.42/2,842 = 1,127.92/x
  3. Step 3: Cross multiply
    2,059.42x = 2,842 × 1,127.92
  4. Step 4: Simplify right side
    2,059.42x = 3,205,548.64
  5. Step 5: Solve for x
    x = 3,205,548.64/2,059.42
  6. Step 6: Final answer
    x = 1,556.53

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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.