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Finding the Fourth Proportional to 7,798.44, 11,702.54 and 3,117.75

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Solution

The fourth proportional to 7,798.44, 11,702.54 and 3,117.75 is: 4,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.44 : 11,702.54 = 3,117.75 : x
  2. Step 2: Convert to fraction form
    7,798.44/11,702.54 = 3,117.75/x
  3. Step 3: Cross multiply
    7,798.44x = 11,702.54 × 3,117.75
  4. Step 4: Simplify right side
    7,798.44x = 36,485,594.09
  5. Step 5: Solve for x
    x = 36,485,594.09/7,798.44
  6. Step 6: Final answer
    x = 4,678.58

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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.