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Finding the Fourth Proportional to 2,712.63, 3,743.44 and 1,470.63

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Solution

The fourth proportional to 2,712.63, 3,743.44 and 1,470.63 is: 2,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.63 : 3,743.44 = 1,470.63 : x
  2. Step 2: Convert to fraction form
    2,712.63/3,743.44 = 1,470.63/x
  3. Step 3: Cross multiply
    2,712.63x = 3,743.44 × 1,470.63
  4. Step 4: Simplify right side
    2,712.63x = 5,505,207.81
  5. Step 5: Solve for x
    x = 5,505,207.81/2,712.63
  6. Step 6: Final answer
    x = 2,029.47

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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.