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Finding the Fourth Proportional to 8,113.98, 12,171.69 and 2,270.64

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Solution

The fourth proportional to 8,113.98, 12,171.69 and 2,270.64 is: 3,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.98 : 12,171.69 = 2,270.64 : x
  2. Step 2: Convert to fraction form
    8,113.98/12,171.69 = 2,270.64/x
  3. Step 3: Cross multiply
    8,113.98x = 12,171.69 × 2,270.64
  4. Step 4: Simplify right side
    8,113.98x = 27,637,526.18
  5. Step 5: Solve for x
    x = 27,637,526.18/8,113.98
  6. Step 6: Final answer
    x = 3,406.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.