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Finding the Fourth Proportional to 6,986.54, 9,638.68 and 4,000.79

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Solution

The fourth proportional to 6,986.54, 9,638.68 and 4,000.79 is: 5,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.54 : 9,638.68 = 4,000.79 : x
  2. Step 2: Convert to fraction form
    6,986.54/9,638.68 = 4,000.79/x
  3. Step 3: Cross multiply
    6,986.54x = 9,638.68 × 4,000.79
  4. Step 4: Simplify right side
    6,986.54x = 38,562,334.56
  5. Step 5: Solve for x
    x = 38,562,334.56/6,986.54
  6. Step 6: Final answer
    x = 5,519.52

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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.