Home / 1,914.81-2,872.14-546.81

Finding the Fourth Proportional to 1,914.81, 2,872.14 and 546.81

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Solution

The fourth proportional to 1,914.81, 2,872.14 and 546.81 is: 820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.81 : 2,872.14 = 546.81 : x
  2. Step 2: Convert to fraction form
    1,914.81/2,872.14 = 546.81/x
  3. Step 3: Cross multiply
    1,914.81x = 2,872.14 × 546.81
  4. Step 4: Simplify right side
    1,914.81x = 1,570,514.87
  5. Step 5: Solve for x
    x = 1,570,514.87/1,914.81
  6. Step 6: Final answer
    x = 820.19

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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.