Home / 3,827.40-5,742.84-2,270.46

Finding the Fourth Proportional to 3,827.40, 5,742.84 and 2,270.46

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Solution

The fourth proportional to 3,827.40, 5,742.84 and 2,270.46 is: 3,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.40 : 5,742.84 = 2,270.46 : x
  2. Step 2: Convert to fraction form
    3,827.40/5,742.84 = 2,270.46/x
  3. Step 3: Cross multiply
    3,827.40x = 5,742.84 × 2,270.46
  4. Step 4: Simplify right side
    3,827.40x = 13,038,888.51
  5. Step 5: Solve for x
    x = 13,038,888.51/3,827.40
  6. Step 6: Final answer
    x = 3,406.72

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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.