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Finding the Fourth Proportional to 7,099.20, 9,796.32 and 3,954.78

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Solution

The fourth proportional to 7,099.20, 9,796.32 and 3,954.78 is: 5,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.20 : 9,796.32 = 3,954.78 : x
  2. Step 2: Convert to fraction form
    7,099.20/9,796.32 = 3,954.78/x
  3. Step 3: Cross multiply
    7,099.20x = 9,796.32 × 3,954.78
  4. Step 4: Simplify right side
    7,099.20x = 38,742,290.41
  5. Step 5: Solve for x
    x = 38,742,290.41/7,099.20
  6. Step 6: Final answer
    x = 5,457.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.