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Finding the Fourth Proportional to 7,163.56, 9,886.18 and 4,019.96

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Solution

The fourth proportional to 7,163.56, 9,886.18 and 4,019.96 is: 5,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.56 : 9,886.18 = 4,019.96 : x
  2. Step 2: Convert to fraction form
    7,163.56/9,886.18 = 4,019.96/x
  3. Step 3: Cross multiply
    7,163.56x = 9,886.18 × 4,019.96
  4. Step 4: Simplify right side
    7,163.56x = 39,742,048.15
  5. Step 5: Solve for x
    x = 39,742,048.15/7,163.56
  6. Step 6: Final answer
    x = 5,547.81

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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.