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Finding the Fourth Proportional to 1,891.90, 2,835.90 and 1,370.62

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Solution

The fourth proportional to 1,891.90, 2,835.90 and 1,370.62 is: 2,054.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.90 : 2,835.90 = 1,370.62 : x
  2. Step 2: Convert to fraction form
    1,891.90/2,835.90 = 1,370.62/x
  3. Step 3: Cross multiply
    1,891.90x = 2,835.90 × 1,370.62
  4. Step 4: Simplify right side
    1,891.90x = 3,886,941.26
  5. Step 5: Solve for x
    x = 3,886,941.26/1,891.90
  6. Step 6: Final answer
    x = 2,054.52

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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.