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Finding the Fourth Proportional to 6,986.03, 9,640.76 and 4,001.99

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Solution

The fourth proportional to 6,986.03, 9,640.76 and 4,001.99 is: 5,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.03 : 9,640.76 = 4,001.99 : x
  2. Step 2: Convert to fraction form
    6,986.03/9,640.76 = 4,001.99/x
  3. Step 3: Cross multiply
    6,986.03x = 9,640.76 × 4,001.99
  4. Step 4: Simplify right side
    6,986.03x = 38,582,156.90
  5. Step 5: Solve for x
    x = 38,582,156.90/6,986.03
  6. Step 6: Final answer
    x = 5,522.76

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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.