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Finding the Fourth Proportional to 2,863.44, 4,293 and 1,564.20

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Solution

The fourth proportional to 2,863.44, 4,293 and 1,564.20 is: 2,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.44 : 4,293 = 1,564.20 : x
  2. Step 2: Convert to fraction form
    2,863.44/4,293 = 1,564.20/x
  3. Step 3: Cross multiply
    2,863.44x = 4,293 × 1,564.20
  4. Step 4: Simplify right side
    2,863.44x = 6,715,110.60
  5. Step 5: Solve for x
    x = 6,715,110.60/2,863.44
  6. Step 6: Final answer
    x = 2,345.12

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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.