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Finding the Fourth Proportional to 1,231.52, 1,840.07 and 1,188.46

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Solution

The fourth proportional to 1,231.52, 1,840.07 and 1,188.46 is: 1,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.52 : 1,840.07 = 1,188.46 : x
  2. Step 2: Convert to fraction form
    1,231.52/1,840.07 = 1,188.46/x
  3. Step 3: Cross multiply
    1,231.52x = 1,840.07 × 1,188.46
  4. Step 4: Simplify right side
    1,231.52x = 2,186,843.51
  5. Step 5: Solve for x
    x = 2,186,843.51/1,231.52
  6. Step 6: Final answer
    x = 1,775.72

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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.