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Finding the Fourth Proportional to 5,498.34, 8,247.78 and 1,603.05

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Solution

The fourth proportional to 5,498.34, 8,247.78 and 1,603.05 is: 2,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.34 : 8,247.78 = 1,603.05 : x
  2. Step 2: Convert to fraction form
    5,498.34/8,247.78 = 1,603.05/x
  3. Step 3: Cross multiply
    5,498.34x = 8,247.78 × 1,603.05
  4. Step 4: Simplify right side
    5,498.34x = 13,221,603.73
  5. Step 5: Solve for x
    x = 13,221,603.73/5,498.34
  6. Step 6: Final answer
    x = 2,404.65

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