Home / 5,313.80-7,969.49-1,564.62

Finding the Fourth Proportional to 5,313.80, 7,969.49 and 1,564.62

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Solution

The fourth proportional to 5,313.80, 7,969.49 and 1,564.62 is: 2,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.80 : 7,969.49 = 1,564.62 : x
  2. Step 2: Convert to fraction form
    5,313.80/7,969.49 = 1,564.62/x
  3. Step 3: Cross multiply
    5,313.80x = 7,969.49 × 1,564.62
  4. Step 4: Simplify right side
    5,313.80x = 12,469,191.60
  5. Step 5: Solve for x
    x = 12,469,191.60/5,313.80
  6. Step 6: Final answer
    x = 2,346.57

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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.