Home / 5,206.85-7,810.27-1,311.25

Finding the Fourth Proportional to 5,206.85, 7,810.27 and 1,311.25

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Solution

The fourth proportional to 5,206.85, 7,810.27 and 1,311.25 is: 1,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.85 : 7,810.27 = 1,311.25 : x
  2. Step 2: Convert to fraction form
    5,206.85/7,810.27 = 1,311.25/x
  3. Step 3: Cross multiply
    5,206.85x = 7,810.27 × 1,311.25
  4. Step 4: Simplify right side
    5,206.85x = 10,241,216.54
  5. Step 5: Solve for x
    x = 10,241,216.54/5,206.85
  6. Step 6: Final answer
    x = 1,966.87

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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.