Home / 1,228.32-1,844.08-1,178.40

Finding the Fourth Proportional to 1,228.32, 1,844.08 and 1,178.40

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Solution

The fourth proportional to 1,228.32, 1,844.08 and 1,178.40 is: 1,769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.32 : 1,844.08 = 1,178.40 : x
  2. Step 2: Convert to fraction form
    1,228.32/1,844.08 = 1,178.40/x
  3. Step 3: Cross multiply
    1,228.32x = 1,844.08 × 1,178.40
  4. Step 4: Simplify right side
    1,228.32x = 2,173,063.87
  5. Step 5: Solve for x
    x = 2,173,063.87/1,228.32
  6. Step 6: Final answer
    x = 1,769.13

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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.