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Finding the Fourth Proportional to 8,980.58, 13,464.80 and 3,134

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Solution

The fourth proportional to 8,980.58, 13,464.80 and 3,134 is: 4,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.58 : 13,464.80 = 3,134 : x
  2. Step 2: Convert to fraction form
    8,980.58/13,464.80 = 3,134/x
  3. Step 3: Cross multiply
    8,980.58x = 13,464.80 × 3,134
  4. Step 4: Simplify right side
    8,980.58x = 42,198,683.20
  5. Step 5: Solve for x
    x = 42,198,683.20/8,980.58
  6. Step 6: Final answer
    x = 4,698.88

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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.