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Finding the Fourth Proportional to 6,316.25, 8,722.70 and 5,200.88

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Solution

The fourth proportional to 6,316.25, 8,722.70 and 5,200.88 is: 7,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.25 : 8,722.70 = 5,200.88 : x
  2. Step 2: Convert to fraction form
    6,316.25/8,722.70 = 5,200.88/x
  3. Step 3: Cross multiply
    6,316.25x = 8,722.70 × 5,200.88
  4. Step 4: Simplify right side
    6,316.25x = 45,365,646.36
  5. Step 5: Solve for x
    x = 45,365,646.36/6,316.25
  6. Step 6: Final answer
    x = 7,182.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.