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Finding the Fourth Proportional to 6,676.67, 9,971.45 and 5,678.85

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Solution

The fourth proportional to 6,676.67, 9,971.45 and 5,678.85 is: 8,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.67 : 9,971.45 = 5,678.85 : x
  2. Step 2: Convert to fraction form
    6,676.67/9,971.45 = 5,678.85/x
  3. Step 3: Cross multiply
    6,676.67x = 9,971.45 × 5,678.85
  4. Step 4: Simplify right side
    6,676.67x = 56,626,368.83
  5. Step 5: Solve for x
    x = 56,626,368.83/6,676.67
  6. Step 6: Final answer
    x = 8,481.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.