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Finding the Fourth Proportional to 9,815.76, 13,538.96 and 8,196.12

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Solution

The fourth proportional to 9,815.76, 13,538.96 and 8,196.12 is: 11,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.76 : 13,538.96 = 8,196.12 : x
  2. Step 2: Convert to fraction form
    9,815.76/13,538.96 = 8,196.12/x
  3. Step 3: Cross multiply
    9,815.76x = 13,538.96 × 8,196.12
  4. Step 4: Simplify right side
    9,815.76x = 110,966,940.84
  5. Step 5: Solve for x
    x = 110,966,940.84/9,815.76
  6. Step 6: Final answer
    x = 11,304.98

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1.5x scale

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.