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Finding the Fourth Proportional to 5,516, 8,274 and 5,239.16

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Solution

The fourth proportional to 5,516, 8,274 and 5,239.16 is: 7,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516 : 8,274 = 5,239.16 : x
  2. Step 2: Convert to fraction form
    5,516/8,274 = 5,239.16/x
  3. Step 3: Cross multiply
    5,516x = 8,274 × 5,239.16
  4. Step 4: Simplify right side
    5,516x = 43,348,809.84
  5. Step 5: Solve for x
    x = 43,348,809.84/5,516
  6. Step 6: Final answer
    x = 7,858.74

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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.