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Finding the Fourth Proportional to 2,695.18, 3,715.89 and 1,749.31

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Solution

The fourth proportional to 2,695.18, 3,715.89 and 1,749.31 is: 2,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.18 : 3,715.89 = 1,749.31 : x
  2. Step 2: Convert to fraction form
    2,695.18/3,715.89 = 1,749.31/x
  3. Step 3: Cross multiply
    2,695.18x = 3,715.89 × 1,749.31
  4. Step 4: Simplify right side
    2,695.18x = 6,500,243.54
  5. Step 5: Solve for x
    x = 6,500,243.54/2,695.18
  6. Step 6: Final answer
    x = 2,411.80

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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.