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Finding the Fourth Proportional to 8,977.64, 13,446.41 and 6,506.79

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Solution

The fourth proportional to 8,977.64, 13,446.41 and 6,506.79 is: 9,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.64 : 13,446.41 = 6,506.79 : x
  2. Step 2: Convert to fraction form
    8,977.64/13,446.41 = 6,506.79/x
  3. Step 3: Cross multiply
    8,977.64x = 13,446.41 × 6,506.79
  4. Step 4: Simplify right side
    8,977.64x = 87,492,975.88
  5. Step 5: Solve for x
    x = 87,492,975.88/8,977.64
  6. Step 6: Final answer
    x = 9,745.65

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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.