Home / 1,546.23-2,316.61-1,284.70

Finding the Fourth Proportional to 1,546.23, 2,316.61 and 1,284.70

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Solution

The fourth proportional to 1,546.23, 2,316.61 and 1,284.70 is: 1,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.23 : 2,316.61 = 1,284.70 : x
  2. Step 2: Convert to fraction form
    1,546.23/2,316.61 = 1,284.70/x
  3. Step 3: Cross multiply
    1,546.23x = 2,316.61 × 1,284.70
  4. Step 4: Simplify right side
    1,546.23x = 2,976,148.87
  5. Step 5: Solve for x
    x = 2,976,148.87/1,546.23
  6. Step 6: Final answer
    x = 1,924.78

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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.