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Finding the Fourth Proportional to 8,684.10, 13,029.84 and 4,301.64

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Solution

The fourth proportional to 8,684.10, 13,029.84 and 4,301.64 is: 6,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.10 : 13,029.84 = 4,301.64 : x
  2. Step 2: Convert to fraction form
    8,684.10/13,029.84 = 4,301.64/x
  3. Step 3: Cross multiply
    8,684.10x = 13,029.84 × 4,301.64
  4. Step 4: Simplify right side
    8,684.10x = 56,049,680.94
  5. Step 5: Solve for x
    x = 56,049,680.94/8,684.10
  6. Step 6: Final answer
    x = 6,454.29

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1.5x scale

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.