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Finding the Fourth Proportional to 6,986.37, 9,638.47 and 4,000.62

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Solution

The fourth proportional to 6,986.37, 9,638.47 and 4,000.62 is: 5,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.37 : 9,638.47 = 4,000.62 : x
  2. Step 2: Convert to fraction form
    6,986.37/9,638.47 = 4,000.62/x
  3. Step 3: Cross multiply
    6,986.37x = 9,638.47 × 4,000.62
  4. Step 4: Simplify right side
    6,986.37x = 38,559,855.85
  5. Step 5: Solve for x
    x = 38,559,855.85/6,986.37
  6. Step 6: Final answer
    x = 5,519.30

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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.