Home / 1,472.09-2,208.11-984.11

Finding the Fourth Proportional to 1,472.09, 2,208.11 and 984.11

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Solution

The fourth proportional to 1,472.09, 2,208.11 and 984.11 is: 1,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.09 : 2,208.11 = 984.11 : x
  2. Step 2: Convert to fraction form
    1,472.09/2,208.11 = 984.11/x
  3. Step 3: Cross multiply
    1,472.09x = 2,208.11 × 984.11
  4. Step 4: Simplify right side
    1,472.09x = 2,173,007.17
  5. Step 5: Solve for x
    x = 2,173,007.17/1,472.09
  6. Step 6: Final answer
    x = 1,476.14

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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.