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Finding the Fourth Proportional to 6,983.63, 9,638.22 and 4,151.03

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Solution

The fourth proportional to 6,983.63, 9,638.22 and 4,151.03 is: 5,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.63 : 9,638.22 = 4,151.03 : x
  2. Step 2: Convert to fraction form
    6,983.63/9,638.22 = 4,151.03/x
  3. Step 3: Cross multiply
    6,983.63x = 9,638.22 × 4,151.03
  4. Step 4: Simplify right side
    6,983.63x = 40,008,492.18
  5. Step 5: Solve for x
    x = 40,008,492.18/6,983.63
  6. Step 6: Final answer
    x = 5,728.90

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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.