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Finding the Fourth Proportional to 2,603.40, 3,592.86 and 1,542

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Solution

The fourth proportional to 2,603.40, 3,592.86 and 1,542 is: 2,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.40 : 3,592.86 = 1,542 : x
  2. Step 2: Convert to fraction form
    2,603.40/3,592.86 = 1,542/x
  3. Step 3: Cross multiply
    2,603.40x = 3,592.86 × 1,542
  4. Step 4: Simplify right side
    2,603.40x = 5,540,190.12
  5. Step 5: Solve for x
    x = 5,540,190.12/2,603.40
  6. Step 6: Final answer
    x = 2,128.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.