Home / 5,206.84-7,811.46-1,744

Finding the Fourth Proportional to 5,206.84, 7,811.46 and 1,744

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Solution

The fourth proportional to 5,206.84, 7,811.46 and 1,744 is: 2,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.84 : 7,811.46 = 1,744 : x
  2. Step 2: Convert to fraction form
    5,206.84/7,811.46 = 1,744/x
  3. Step 3: Cross multiply
    5,206.84x = 7,811.46 × 1,744
  4. Step 4: Simplify right side
    5,206.84x = 13,623,186.24
  5. Step 5: Solve for x
    x = 13,623,186.24/5,206.84
  6. Step 6: Final answer
    x = 2,616.40

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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.