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Finding the Fourth Proportional to 9,335.45, 12,878.38 and 5,975.57

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Solution

The fourth proportional to 9,335.45, 12,878.38 and 5,975.57 is: 8,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.45 : 12,878.38 = 5,975.57 : x
  2. Step 2: Convert to fraction form
    9,335.45/12,878.38 = 5,975.57/x
  3. Step 3: Cross multiply
    9,335.45x = 12,878.38 × 5,975.57
  4. Step 4: Simplify right side
    9,335.45x = 76,955,661.18
  5. Step 5: Solve for x
    x = 76,955,661.18/9,335.45
  6. Step 6: Final answer
    x = 8,243.38

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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.