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Finding the Fourth Proportional to 1,603.40, 2,397.90 and 1,344.20

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Solution

The fourth proportional to 1,603.40, 2,397.90 and 1,344.20 is: 2,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.40 : 2,397.90 = 1,344.20 : x
  2. Step 2: Convert to fraction form
    1,603.40/2,397.90 = 1,344.20/x
  3. Step 3: Cross multiply
    1,603.40x = 2,397.90 × 1,344.20
  4. Step 4: Simplify right side
    1,603.40x = 3,223,257.18
  5. Step 5: Solve for x
    x = 3,223,257.18/1,603.40
  6. Step 6: Final answer
    x = 2,010.26

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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.