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Finding the Fourth Proportional to 8,286, 11,434.72 and 4,509.20

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Solution

The fourth proportional to 8,286, 11,434.72 and 4,509.20 is: 6,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 11,434.72 = 4,509.20 : x
  2. Step 2: Convert to fraction form
    8,286/11,434.72 = 4,509.20/x
  3. Step 3: Cross multiply
    8,286x = 11,434.72 × 4,509.20
  4. Step 4: Simplify right side
    8,286x = 51,561,439.42
  5. Step 5: Solve for x
    x = 51,561,439.42/8,286
  6. Step 6: Final answer
    x = 6,222.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.