Home / 5,243-7,867.64-1,958.40

Finding the Fourth Proportional to 5,243, 7,867.64 and 1,958.40

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Solution

The fourth proportional to 5,243, 7,867.64 and 1,958.40 is: 2,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243 : 7,867.64 = 1,958.40 : x
  2. Step 2: Convert to fraction form
    5,243/7,867.64 = 1,958.40/x
  3. Step 3: Cross multiply
    5,243x = 7,867.64 × 1,958.40
  4. Step 4: Simplify right side
    5,243x = 15,407,986.18
  5. Step 5: Solve for x
    x = 15,407,986.18/5,243
  6. Step 6: Final answer
    x = 2,938.77

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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.