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Finding the Fourth Proportional to 7,191.03, 9,902.16 and 7,027.28

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Solution

The fourth proportional to 7,191.03, 9,902.16 and 7,027.28 is: 9,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.03 : 9,902.16 = 7,027.28 : x
  2. Step 2: Convert to fraction form
    7,191.03/9,902.16 = 7,027.28/x
  3. Step 3: Cross multiply
    7,191.03x = 9,902.16 × 7,027.28
  4. Step 4: Simplify right side
    7,191.03x = 69,585,250.92
  5. Step 5: Solve for x
    x = 69,585,250.92/7,191.03
  6. Step 6: Final answer
    x = 9,676.67

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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.