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Finding the Fourth Proportional to 12,855.96, 17,740.74 and 7,267.08

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Solution

The fourth proportional to 12,855.96, 17,740.74 and 7,267.08 is: 10,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.96 : 17,740.74 = 7,267.08 : x
  2. Step 2: Convert to fraction form
    12,855.96/17,740.74 = 7,267.08/x
  3. Step 3: Cross multiply
    12,855.96x = 17,740.74 × 7,267.08
  4. Step 4: Simplify right side
    12,855.96x = 128,923,376.84
  5. Step 5: Solve for x
    x = 128,923,376.84/12,855.96
  6. Step 6: Final answer
    x = 10,028.30

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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.