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Finding the Fourth Proportional to 8,378.60, 12,576.54 and 6,278

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Solution

The fourth proportional to 8,378.60, 12,576.54 and 6,278 is: 9,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.60 : 12,576.54 = 6,278 : x
  2. Step 2: Convert to fraction form
    8,378.60/12,576.54 = 6,278/x
  3. Step 3: Cross multiply
    8,378.60x = 12,576.54 × 6,278
  4. Step 4: Simplify right side
    8,378.60x = 78,955,518.12
  5. Step 5: Solve for x
    x = 78,955,518.12/8,378.60
  6. Step 6: Final answer
    x = 9,423.47

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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.