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Finding the Fourth Proportional to 8,978.77, 13,467.80 and 3,431.89

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Solution

The fourth proportional to 8,978.77, 13,467.80 and 3,431.89 is: 5,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.77 : 13,467.80 = 3,431.89 : x
  2. Step 2: Convert to fraction form
    8,978.77/13,467.80 = 3,431.89/x
  3. Step 3: Cross multiply
    8,978.77x = 13,467.80 × 3,431.89
  4. Step 4: Simplify right side
    8,978.77x = 46,219,990.98
  5. Step 5: Solve for x
    x = 46,219,990.98/8,978.77
  6. Step 6: Final answer
    x = 5,147.70

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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.