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Finding the Fourth Proportional to 1,888.14, 2,830.32 and 1,237.98

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Solution

The fourth proportional to 1,888.14, 2,830.32 and 1,237.98 is: 1,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.14 : 2,830.32 = 1,237.98 : x
  2. Step 2: Convert to fraction form
    1,888.14/2,830.32 = 1,237.98/x
  3. Step 3: Cross multiply
    1,888.14x = 2,830.32 × 1,237.98
  4. Step 4: Simplify right side
    1,888.14x = 3,503,879.55
  5. Step 5: Solve for x
    x = 3,503,879.55/1,888.14
  6. Step 6: Final answer
    x = 1,855.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.