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Finding the Fourth Proportional to 8,286, 11,434.86 and 4,560

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Solution

The fourth proportional to 8,286, 11,434.86 and 4,560 is: 6,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 11,434.86 = 4,560 : x
  2. Step 2: Convert to fraction form
    8,286/11,434.86 = 4,560/x
  3. Step 3: Cross multiply
    8,286x = 11,434.86 × 4,560
  4. Step 4: Simplify right side
    8,286x = 52,142,961.60
  5. Step 5: Solve for x
    x = 52,142,961.60/8,286
  6. Step 6: Final answer
    x = 6,292.90

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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.