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Finding the Fourth Proportional to 7,102.17, 10,652.04 and 1,908.09

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Solution

The fourth proportional to 7,102.17, 10,652.04 and 1,908.09 is: 2,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.17 : 10,652.04 = 1,908.09 : x
  2. Step 2: Convert to fraction form
    7,102.17/10,652.04 = 1,908.09/x
  3. Step 3: Cross multiply
    7,102.17x = 10,652.04 × 1,908.09
  4. Step 4: Simplify right side
    7,102.17x = 20,325,051.00
  5. Step 5: Solve for x
    x = 20,325,051.00/7,102.17
  6. Step 6: Final answer
    x = 2,861.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.