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Finding the Fourth Proportional to 8,782.77, 13,168 and 3,235.40

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Solution

The fourth proportional to 8,782.77, 13,168 and 3,235.40 is: 4,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.77 : 13,168 = 3,235.40 : x
  2. Step 2: Convert to fraction form
    8,782.77/13,168 = 3,235.40/x
  3. Step 3: Cross multiply
    8,782.77x = 13,168 × 3,235.40
  4. Step 4: Simplify right side
    8,782.77x = 42,603,747.20
  5. Step 5: Solve for x
    x = 42,603,747.20/8,782.77
  6. Step 6: Final answer
    x = 4,850.83

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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.