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Finding the Fourth Proportional to 8,643.78, 11,928.33 and 5,106.78

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Solution

The fourth proportional to 8,643.78, 11,928.33 and 5,106.78 is: 7,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.78 : 11,928.33 = 5,106.78 : x
  2. Step 2: Convert to fraction form
    8,643.78/11,928.33 = 5,106.78/x
  3. Step 3: Cross multiply
    8,643.78x = 11,928.33 × 5,106.78
  4. Step 4: Simplify right side
    8,643.78x = 60,915,357.08
  5. Step 5: Solve for x
    x = 60,915,357.08/8,643.78
  6. Step 6: Final answer
    x = 7,047.31

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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.