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Finding the Fourth Proportional to 6,823.62, 9,417.80 and 6,511.97

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Solution

The fourth proportional to 6,823.62, 9,417.80 and 6,511.97 is: 8,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.62 : 9,417.80 = 6,511.97 : x
  2. Step 2: Convert to fraction form
    6,823.62/9,417.80 = 6,511.97/x
  3. Step 3: Cross multiply
    6,823.62x = 9,417.80 × 6,511.97
  4. Step 4: Simplify right side
    6,823.62x = 61,328,431.07
  5. Step 5: Solve for x
    x = 61,328,431.07/6,823.62
  6. Step 6: Final answer
    x = 8,987.67

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1.5x scale

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.