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Finding the Fourth Proportional to 1,237.86, 1,842.84 and 1,187.64

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Solution

The fourth proportional to 1,237.86, 1,842.84 and 1,187.64 is: 1,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.86 : 1,842.84 = 1,187.64 : x
  2. Step 2: Convert to fraction form
    1,237.86/1,842.84 = 1,187.64/x
  3. Step 3: Cross multiply
    1,237.86x = 1,842.84 × 1,187.64
  4. Step 4: Simplify right side
    1,237.86x = 2,188,630.50
  5. Step 5: Solve for x
    x = 2,188,630.50/1,237.86
  6. Step 6: Final answer
    x = 1,768.08

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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.