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Finding the Fourth Proportional to 1,231.52, 1,840.07 and 1,188.47

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Solution

The fourth proportional to 1,231.52, 1,840.07 and 1,188.47 is: 1,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.52 : 1,840.07 = 1,188.47 : x
  2. Step 2: Convert to fraction form
    1,231.52/1,840.07 = 1,188.47/x
  3. Step 3: Cross multiply
    1,231.52x = 1,840.07 × 1,188.47
  4. Step 4: Simplify right side
    1,231.52x = 2,186,875.56
  5. Step 5: Solve for x
    x = 2,186,875.56/1,231.52
  6. Step 6: Final answer
    x = 1,775.76

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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.