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Finding the Fourth Proportional to 8,211.16, 12,316.74 and 6,578

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Solution

The fourth proportional to 8,211.16, 12,316.74 and 6,578 is: 9,867

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.16 : 12,316.74 = 6,578 : x
  2. Step 2: Convert to fraction form
    8,211.16/12,316.74 = 6,578/x
  3. Step 3: Cross multiply
    8,211.16x = 12,316.74 × 6,578
  4. Step 4: Simplify right side
    8,211.16x = 81,019,515.72
  5. Step 5: Solve for x
    x = 81,019,515.72/8,211.16
  6. Step 6: Final answer
    x = 9,867

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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.