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Finding the Fourth Proportional to 8,214.46, 11,336.10 and 4,678

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Solution

The fourth proportional to 8,214.46, 11,336.10 and 4,678 is: 6,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.46 : 11,336.10 = 4,678 : x
  2. Step 2: Convert to fraction form
    8,214.46/11,336.10 = 4,678/x
  3. Step 3: Cross multiply
    8,214.46x = 11,336.10 × 4,678
  4. Step 4: Simplify right side
    8,214.46x = 53,030,275.80
  5. Step 5: Solve for x
    x = 53,030,275.80/8,214.46
  6. Step 6: Final answer
    x = 6,455.72

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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.