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Finding the Fourth Proportional to 6,845.23, 9,384.82 and 6,720.67

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Solution

The fourth proportional to 6,845.23, 9,384.82 and 6,720.67 is: 9,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.23 : 9,384.82 = 6,720.67 : x
  2. Step 2: Convert to fraction form
    6,845.23/9,384.82 = 6,720.67/x
  3. Step 3: Cross multiply
    6,845.23x = 9,384.82 × 6,720.67
  4. Step 4: Simplify right side
    6,845.23x = 63,072,278.23
  5. Step 5: Solve for x
    x = 63,072,278.23/6,845.23
  6. Step 6: Final answer
    x = 9,214.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.