Home / 1,546.64-2,133.50-1,104.78

Finding the Fourth Proportional to 1,546.64, 2,133.50 and 1,104.78

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Solution

The fourth proportional to 1,546.64, 2,133.50 and 1,104.78 is: 1,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.64 : 2,133.50 = 1,104.78 : x
  2. Step 2: Convert to fraction form
    1,546.64/2,133.50 = 1,104.78/x
  3. Step 3: Cross multiply
    1,546.64x = 2,133.50 × 1,104.78
  4. Step 4: Simplify right side
    1,546.64x = 2,357,048.13
  5. Step 5: Solve for x
    x = 2,357,048.13/1,546.64
  6. Step 6: Final answer
    x = 1,523.98

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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.