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Finding the Fourth Proportional to 8,222.72, 12,378.08 and 7,376

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Solution

The fourth proportional to 8,222.72, 12,378.08 and 7,376 is: 11,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.72 : 12,378.08 = 7,376 : x
  2. Step 2: Convert to fraction form
    8,222.72/12,378.08 = 7,376/x
  3. Step 3: Cross multiply
    8,222.72x = 12,378.08 × 7,376
  4. Step 4: Simplify right side
    8,222.72x = 91,300,718.08
  5. Step 5: Solve for x
    x = 91,300,718.08/8,222.72
  6. Step 6: Final answer
    x = 11,103.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.