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Finding the Fourth Proportional to 6,649.81, 9,896.21 and 6,428.34

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Solution

The fourth proportional to 6,649.81, 9,896.21 and 6,428.34 is: 9,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.81 : 9,896.21 = 6,428.34 : x
  2. Step 2: Convert to fraction form
    6,649.81/9,896.21 = 6,428.34/x
  3. Step 3: Cross multiply
    6,649.81x = 9,896.21 × 6,428.34
  4. Step 4: Simplify right side
    6,649.81x = 63,616,202.59
  5. Step 5: Solve for x
    x = 63,616,202.59/6,649.81
  6. Step 6: Final answer
    x = 9,566.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.