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Finding the Fourth Proportional to 7,223.87, 9,964.61 and 4,389.81

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Solution

The fourth proportional to 7,223.87, 9,964.61 and 4,389.81 is: 6,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.87 : 9,964.61 = 4,389.81 : x
  2. Step 2: Convert to fraction form
    7,223.87/9,964.61 = 4,389.81/x
  3. Step 3: Cross multiply
    7,223.87x = 9,964.61 × 4,389.81
  4. Step 4: Simplify right side
    7,223.87x = 43,742,722.68
  5. Step 5: Solve for x
    x = 43,742,722.68/7,223.87
  6. Step 6: Final answer
    x = 6,055.31

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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.