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Finding the Fourth Proportional to 1,182.78, 1,762.04 and 1,129.48

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Solution

The fourth proportional to 1,182.78, 1,762.04 and 1,129.48 is: 1,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.78 : 1,762.04 = 1,129.48 : x
  2. Step 2: Convert to fraction form
    1,182.78/1,762.04 = 1,129.48/x
  3. Step 3: Cross multiply
    1,182.78x = 1,762.04 × 1,129.48
  4. Step 4: Simplify right side
    1,182.78x = 1,990,188.94
  5. Step 5: Solve for x
    x = 1,990,188.94/1,182.78
  6. Step 6: Final answer
    x = 1,682.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.