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Finding the Fourth Proportional to 5,214.63, 7,822.38 and 1,516.86

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Solution

The fourth proportional to 5,214.63, 7,822.38 and 1,516.86 is: 2,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.63 : 7,822.38 = 1,516.86 : x
  2. Step 2: Convert to fraction form
    5,214.63/7,822.38 = 1,516.86/x
  3. Step 3: Cross multiply
    5,214.63x = 7,822.38 × 1,516.86
  4. Step 4: Simplify right side
    5,214.63x = 11,865,455.33
  5. Step 5: Solve for x
    x = 11,865,455.33/5,214.63
  6. Step 6: Final answer
    x = 2,275.42

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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.