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Finding the Fourth Proportional to 7,102.08, 10,653.60 and 2,172.08

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Solution

The fourth proportional to 7,102.08, 10,653.60 and 2,172.08 is: 3,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.08 : 10,653.60 = 2,172.08 : x
  2. Step 2: Convert to fraction form
    7,102.08/10,653.60 = 2,172.08/x
  3. Step 3: Cross multiply
    7,102.08x = 10,653.60 × 2,172.08
  4. Step 4: Simplify right side
    7,102.08x = 23,140,471.49
  5. Step 5: Solve for x
    x = 23,140,471.49/7,102.08
  6. Step 6: Final answer
    x = 3,258.27

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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.