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Finding the Fourth Proportional to 7,798.86, 11,701.74 and 4,100.25

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Solution

The fourth proportional to 7,798.86, 11,701.74 and 4,100.25 is: 6,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.86 : 11,701.74 = 4,100.25 : x
  2. Step 2: Convert to fraction form
    7,798.86/11,701.74 = 4,100.25/x
  3. Step 3: Cross multiply
    7,798.86x = 11,701.74 × 4,100.25
  4. Step 4: Simplify right side
    7,798.86x = 47,980,059.44
  5. Step 5: Solve for x
    x = 47,980,059.44/7,798.86
  6. Step 6: Final answer
    x = 6,152.19

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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.