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Finding the Fourth Proportional to 1,695.79, 2,544.23 and 1,350.46

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Solution

The fourth proportional to 1,695.79, 2,544.23 and 1,350.46 is: 2,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.79 : 2,544.23 = 1,350.46 : x
  2. Step 2: Convert to fraction form
    1,695.79/2,544.23 = 1,350.46/x
  3. Step 3: Cross multiply
    1,695.79x = 2,544.23 × 1,350.46
  4. Step 4: Simplify right side
    1,695.79x = 3,435,874.09
  5. Step 5: Solve for x
    x = 3,435,874.09/1,695.79
  6. Step 6: Final answer
    x = 2,026.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.