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Finding the Fourth Proportional to 1,603.90, 2,393.51 and 1,419.22

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Solution

The fourth proportional to 1,603.90, 2,393.51 and 1,419.22 is: 2,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.90 : 2,393.51 = 1,419.22 : x
  2. Step 2: Convert to fraction form
    1,603.90/2,393.51 = 1,419.22/x
  3. Step 3: Cross multiply
    1,603.90x = 2,393.51 × 1,419.22
  4. Step 4: Simplify right side
    1,603.90x = 3,396,917.26
  5. Step 5: Solve for x
    x = 3,396,917.26/1,603.90
  6. Step 6: Final answer
    x = 2,117.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.