Home / 2,827.50-3,902.40-2,228.64

Finding the Fourth Proportional to 2,827.50, 3,902.40 and 2,228.64

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Solution

The fourth proportional to 2,827.50, 3,902.40 and 2,228.64 is: 3,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.50 : 3,902.40 = 2,228.64 : x
  2. Step 2: Convert to fraction form
    2,827.50/3,902.40 = 2,228.64/x
  3. Step 3: Cross multiply
    2,827.50x = 3,902.40 × 2,228.64
  4. Step 4: Simplify right side
    2,827.50x = 8,697,044.74
  5. Step 5: Solve for x
    x = 8,697,044.74/2,827.50
  6. Step 6: Final answer
    x = 3,075.88

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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.