Home / 1,827.58-2,738.50-1,242.86

Finding the Fourth Proportional to 1,827.58, 2,738.50 and 1,242.86

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Solution

The fourth proportional to 1,827.58, 2,738.50 and 1,242.86 is: 1,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.58 : 2,738.50 = 1,242.86 : x
  2. Step 2: Convert to fraction form
    1,827.58/2,738.50 = 1,242.86/x
  3. Step 3: Cross multiply
    1,827.58x = 2,738.50 × 1,242.86
  4. Step 4: Simplify right side
    1,827.58x = 3,403,572.11
  5. Step 5: Solve for x
    x = 3,403,572.11/1,827.58
  6. Step 6: Final answer
    x = 1,862.34

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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.