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Finding the Fourth Proportional to 12,723.51, 19,095.03 and 7,181.76

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Solution

The fourth proportional to 12,723.51, 19,095.03 and 7,181.76 is: 10,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.51 : 19,095.03 = 7,181.76 : x
  2. Step 2: Convert to fraction form
    12,723.51/19,095.03 = 7,181.76/x
  3. Step 3: Cross multiply
    12,723.51x = 19,095.03 × 7,181.76
  4. Step 4: Simplify right side
    12,723.51x = 137,135,922.65
  5. Step 5: Solve for x
    x = 137,135,922.65/12,723.51
  6. Step 6: Final answer
    x = 10,778.15

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1.5x scale

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.