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Finding the Fourth Proportional to 2,857.44, 4,284 and 1,558.20

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Solution

The fourth proportional to 2,857.44, 4,284 and 1,558.20 is: 2,336.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.44 : 4,284 = 1,558.20 : x
  2. Step 2: Convert to fraction form
    2,857.44/4,284 = 1,558.20/x
  3. Step 3: Cross multiply
    2,857.44x = 4,284 × 1,558.20
  4. Step 4: Simplify right side
    2,857.44x = 6,675,328.80
  5. Step 5: Solve for x
    x = 6,675,328.80/2,857.44
  6. Step 6: Final answer
    x = 2,336.12

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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.