Home / 3,210-4,811.28-1,453.14

Finding the Fourth Proportional to 3,210, 4,811.28 and 1,453.14

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Solution

The fourth proportional to 3,210, 4,811.28 and 1,453.14 is: 2,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210 : 4,811.28 = 1,453.14 : x
  2. Step 2: Convert to fraction form
    3,210/4,811.28 = 1,453.14/x
  3. Step 3: Cross multiply
    3,210x = 4,811.28 × 1,453.14
  4. Step 4: Simplify right side
    3,210x = 6,991,463.42
  5. Step 5: Solve for x
    x = 6,991,463.42/3,210
  6. Step 6: Final answer
    x = 2,178.03

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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.