Home / 1,827.57-2,521.90-1,031.09

Finding the Fourth Proportional to 1,827.57, 2,521.90 and 1,031.09

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Solution

The fourth proportional to 1,827.57, 2,521.90 and 1,031.09 is: 1,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.57 : 2,521.90 = 1,031.09 : x
  2. Step 2: Convert to fraction form
    1,827.57/2,521.90 = 1,031.09/x
  3. Step 3: Cross multiply
    1,827.57x = 2,521.90 × 1,031.09
  4. Step 4: Simplify right side
    1,827.57x = 2,600,305.87
  5. Step 5: Solve for x
    x = 2,600,305.87/1,827.57
  6. Step 6: Final answer
    x = 1,422.82

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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.