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Finding the Fourth Proportional to 2,709.51, 3,738.63 and 1,590.50

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Solution

The fourth proportional to 2,709.51, 3,738.63 and 1,590.50 is: 2,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.51 : 3,738.63 = 1,590.50 : x
  2. Step 2: Convert to fraction form
    2,709.51/3,738.63 = 1,590.50/x
  3. Step 3: Cross multiply
    2,709.51x = 3,738.63 × 1,590.50
  4. Step 4: Simplify right side
    2,709.51x = 5,946,272.32
  5. Step 5: Solve for x
    x = 5,946,272.32/2,709.51
  6. Step 6: Final answer
    x = 2,194.59

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