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Finding the Fourth Proportional to 2,709.29, 3,738.80 and 1,530.34

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Solution

The fourth proportional to 2,709.29, 3,738.80 and 1,530.34 is: 2,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.29 : 3,738.80 = 1,530.34 : x
  2. Step 2: Convert to fraction form
    2,709.29/3,738.80 = 1,530.34/x
  3. Step 3: Cross multiply
    2,709.29x = 3,738.80 × 1,530.34
  4. Step 4: Simplify right side
    2,709.29x = 5,721,629.67
  5. Step 5: Solve for x
    x = 5,721,629.67/2,709.29
  6. Step 6: Final answer
    x = 2,111.85

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Why These Related Problems?

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