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Finding the Fourth Proportional to 1,378.33, 2,072.27 and 969.19

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Solution

The fourth proportional to 1,378.33, 2,072.27 and 969.19 is: 1,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.33 : 2,072.27 = 969.19 : x
  2. Step 2: Convert to fraction form
    1,378.33/2,072.27 = 969.19/x
  3. Step 3: Cross multiply
    1,378.33x = 2,072.27 × 969.19
  4. Step 4: Simplify right side
    1,378.33x = 2,008,423.36
  5. Step 5: Solve for x
    x = 2,008,423.36/1,378.33
  6. Step 6: Final answer
    x = 1,457.14

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1.5x scale

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.