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Finding the Fourth Proportional to 7,678.06, 11,501.97 and 7,138.06

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Solution

The fourth proportional to 7,678.06, 11,501.97 and 7,138.06 is: 10,693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.06 : 11,501.97 = 7,138.06 : x
  2. Step 2: Convert to fraction form
    7,678.06/11,501.97 = 7,138.06/x
  3. Step 3: Cross multiply
    7,678.06x = 11,501.97 × 7,138.06
  4. Step 4: Simplify right side
    7,678.06x = 82,101,751.98
  5. Step 5: Solve for x
    x = 82,101,751.98/7,678.06
  6. Step 6: Final answer
    x = 10,693.03

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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.