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Finding the Fourth Proportional to 6,442.81, 9,666.99 and 3,480.67

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Solution

The fourth proportional to 6,442.81, 9,666.99 and 3,480.67 is: 5,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.81 : 9,666.99 = 3,480.67 : x
  2. Step 2: Convert to fraction form
    6,442.81/9,666.99 = 3,480.67/x
  3. Step 3: Cross multiply
    6,442.81x = 9,666.99 × 3,480.67
  4. Step 4: Simplify right side
    6,442.81x = 33,647,602.08
  5. Step 5: Solve for x
    x = 33,647,602.08/6,442.81
  6. Step 6: Final answer
    x = 5,222.50

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Double scale
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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.