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Finding the Fourth Proportional to 2,709.23, 3,738.71 and 1,530.29

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Solution

The fourth proportional to 2,709.23, 3,738.71 and 1,530.29 is: 2,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.23 : 3,738.71 = 1,530.29 : x
  2. Step 2: Convert to fraction form
    2,709.23/3,738.71 = 1,530.29/x
  3. Step 3: Cross multiply
    2,709.23x = 3,738.71 × 1,530.29
  4. Step 4: Simplify right side
    2,709.23x = 5,721,323.70
  5. Step 5: Solve for x
    x = 5,721,323.70/2,709.23
  6. Step 6: Final answer
    x = 2,111.79

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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.