Home / 2,827.28-4,238.40-1,071.06

Finding the Fourth Proportional to 2,827.28, 4,238.40 and 1,071.06

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Solution

The fourth proportional to 2,827.28, 4,238.40 and 1,071.06 is: 1,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.28 : 4,238.40 = 1,071.06 : x
  2. Step 2: Convert to fraction form
    2,827.28/4,238.40 = 1,071.06/x
  3. Step 3: Cross multiply
    2,827.28x = 4,238.40 × 1,071.06
  4. Step 4: Simplify right side
    2,827.28x = 4,539,580.70
  5. Step 5: Solve for x
    x = 4,539,580.70/2,827.28
  6. Step 6: Final answer
    x = 1,605.64

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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.