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Finding the Fourth Proportional to 6,513.09, 8,988 and 3,680.41

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Solution

The fourth proportional to 6,513.09, 8,988 and 3,680.41 is: 5,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.09 : 8,988 = 3,680.41 : x
  2. Step 2: Convert to fraction form
    6,513.09/8,988 = 3,680.41/x
  3. Step 3: Cross multiply
    6,513.09x = 8,988 × 3,680.41
  4. Step 4: Simplify right side
    6,513.09x = 33,079,525.08
  5. Step 5: Solve for x
    x = 33,079,525.08/6,513.09
  6. Step 6: Final answer
    x = 5,078.93

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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.