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Finding the Fourth Proportional to 1,695.19, 2,544.39 and 874.03

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Solution

The fourth proportional to 1,695.19, 2,544.39 and 874.03 is: 1,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.19 : 2,544.39 = 874.03 : x
  2. Step 2: Convert to fraction form
    1,695.19/2,544.39 = 874.03/x
  3. Step 3: Cross multiply
    1,695.19x = 2,544.39 × 874.03
  4. Step 4: Simplify right side
    1,695.19x = 2,223,873.19
  5. Step 5: Solve for x
    x = 2,223,873.19/1,695.19
  6. Step 6: Final answer
    x = 1,311.87

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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.