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Finding the Fourth Proportional to 2,708.72, 3,738.26 and 1,530.02

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Solution

The fourth proportional to 2,708.72, 3,738.26 and 1,530.02 is: 2,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.72 : 3,738.26 = 1,530.02 : x
  2. Step 2: Convert to fraction form
    2,708.72/3,738.26 = 1,530.02/x
  3. Step 3: Cross multiply
    2,708.72x = 3,738.26 × 1,530.02
  4. Step 4: Simplify right side
    2,708.72x = 5,719,612.57
  5. Step 5: Solve for x
    x = 5,719,612.57/2,708.72
  6. Step 6: Final answer
    x = 2,111.56

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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.