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Finding the Fourth Proportional to 9,101.62, 12,558 and 5,563.54

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Solution

The fourth proportional to 9,101.62, 12,558 and 5,563.54 is: 7,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.62 : 12,558 = 5,563.54 : x
  2. Step 2: Convert to fraction form
    9,101.62/12,558 = 5,563.54/x
  3. Step 3: Cross multiply
    9,101.62x = 12,558 × 5,563.54
  4. Step 4: Simplify right side
    9,101.62x = 69,866,935.32
  5. Step 5: Solve for x
    x = 69,866,935.32/9,101.62
  6. Step 6: Final answer
    x = 7,676.32

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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.