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Finding the Fourth Proportional to 6,440.81, 9,663.99 and 3,478.67

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Solution

The fourth proportional to 6,440.81, 9,663.99 and 3,478.67 is: 5,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.81 : 9,663.99 = 3,478.67 : x
  2. Step 2: Convert to fraction form
    6,440.81/9,663.99 = 3,478.67/x
  3. Step 3: Cross multiply
    6,440.81x = 9,663.99 × 3,478.67
  4. Step 4: Simplify right side
    6,440.81x = 33,617,783.77
  5. Step 5: Solve for x
    x = 33,617,783.77/6,440.81
  6. Step 6: Final answer
    x = 5,219.50

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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.