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Finding the Fourth Proportional to 2,174.85, 2,994.98 and 1,858.95

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Solution

The fourth proportional to 2,174.85, 2,994.98 and 1,858.95 is: 2,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.85 : 2,994.98 = 1,858.95 : x
  2. Step 2: Convert to fraction form
    2,174.85/2,994.98 = 1,858.95/x
  3. Step 3: Cross multiply
    2,174.85x = 2,994.98 × 1,858.95
  4. Step 4: Simplify right side
    2,174.85x = 5,567,508.78
  5. Step 5: Solve for x
    x = 5,567,508.78/2,174.85
  6. Step 6: Final answer
    x = 2,559.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.