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Finding the Fourth Proportional to 6,986.85, 9,640.99 and 4,154.28

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Solution

The fourth proportional to 6,986.85, 9,640.99 and 4,154.28 is: 5,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.85 : 9,640.99 = 4,154.28 : x
  2. Step 2: Convert to fraction form
    6,986.85/9,640.99 = 4,154.28/x
  3. Step 3: Cross multiply
    6,986.85x = 9,640.99 × 4,154.28
  4. Step 4: Simplify right side
    6,986.85x = 40,051,371.94
  5. Step 5: Solve for x
    x = 40,051,371.94/6,986.85
  6. Step 6: Final answer
    x = 5,732.39

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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.