Home / 1,224.84-1,687.59-1,106.67

Finding the Fourth Proportional to 1,224.84, 1,687.59 and 1,106.67

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Solution

The fourth proportional to 1,224.84, 1,687.59 and 1,106.67 is: 1,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.84 : 1,687.59 = 1,106.67 : x
  2. Step 2: Convert to fraction form
    1,224.84/1,687.59 = 1,106.67/x
  3. Step 3: Cross multiply
    1,224.84x = 1,687.59 × 1,106.67
  4. Step 4: Simplify right side
    1,224.84x = 1,867,605.23
  5. Step 5: Solve for x
    x = 1,867,605.23/1,224.84
  6. Step 6: Final answer
    x = 1,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.