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Finding the Fourth Proportional to 8,454.15, 12,665.09 and 4,745.13

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Solution

The fourth proportional to 8,454.15, 12,665.09 and 4,745.13 is: 7,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.15 : 12,665.09 = 4,745.13 : x
  2. Step 2: Convert to fraction form
    8,454.15/12,665.09 = 4,745.13/x
  3. Step 3: Cross multiply
    8,454.15x = 12,665.09 × 4,745.13
  4. Step 4: Simplify right side
    8,454.15x = 60,097,474.79
  5. Step 5: Solve for x
    x = 60,097,474.79/8,454.15
  6. Step 6: Final answer
    x = 7,108.64

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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.