Home / 2,048.98-2,827.80-1,209.96

Finding the Fourth Proportional to 2,048.98, 2,827.80 and 1,209.96

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Solution

The fourth proportional to 2,048.98, 2,827.80 and 1,209.96 is: 1,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.98 : 2,827.80 = 1,209.96 : x
  2. Step 2: Convert to fraction form
    2,048.98/2,827.80 = 1,209.96/x
  3. Step 3: Cross multiply
    2,048.98x = 2,827.80 × 1,209.96
  4. Step 4: Simplify right side
    2,048.98x = 3,421,524.89
  5. Step 5: Solve for x
    x = 3,421,524.89/2,048.98
  6. Step 6: Final answer
    x = 1,669.87

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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.