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Finding the Fourth Proportional to 8,216, 12,307.71 and 3,827.42

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Solution

The fourth proportional to 8,216, 12,307.71 and 3,827.42 is: 5,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216 : 12,307.71 = 3,827.42 : x
  2. Step 2: Convert to fraction form
    8,216/12,307.71 = 3,827.42/x
  3. Step 3: Cross multiply
    8,216x = 12,307.71 × 3,827.42
  4. Step 4: Simplify right side
    8,216x = 47,106,775.41
  5. Step 5: Solve for x
    x = 47,106,775.41/8,216
  6. Step 6: Final answer
    x = 5,733.54

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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.