Home / 1,853.08-2,780.75-976.21

Finding the Fourth Proportional to 1,853.08, 2,780.75 and 976.21

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Solution

The fourth proportional to 1,853.08, 2,780.75 and 976.21 is: 1,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.08 : 2,780.75 = 976.21 : x
  2. Step 2: Convert to fraction form
    1,853.08/2,780.75 = 976.21/x
  3. Step 3: Cross multiply
    1,853.08x = 2,780.75 × 976.21
  4. Step 4: Simplify right side
    1,853.08x = 2,714,595.96
  5. Step 5: Solve for x
    x = 2,714,595.96/1,853.08
  6. Step 6: Final answer
    x = 1,464.91

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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.