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Finding the Fourth Proportional to 8,647.88, 12,971.64 and 2,804.48

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Solution

The fourth proportional to 8,647.88, 12,971.64 and 2,804.48 is: 4,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.88 : 12,971.64 = 2,804.48 : x
  2. Step 2: Convert to fraction form
    8,647.88/12,971.64 = 2,804.48/x
  3. Step 3: Cross multiply
    8,647.88x = 12,971.64 × 2,804.48
  4. Step 4: Simplify right side
    8,647.88x = 36,378,704.95
  5. Step 5: Solve for x
    x = 36,378,704.95/8,647.88
  6. Step 6: Final answer
    x = 4,206.66

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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.