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Finding the Fourth Proportional to 20,448.12, 30,711.06 and 12,711

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Solution

The fourth proportional to 20,448.12, 30,711.06 and 12,711 is: 19,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.12 : 30,711.06 = 12,711 : x
  2. Step 2: Convert to fraction form
    20,448.12/30,711.06 = 12,711/x
  3. Step 3: Cross multiply
    20,448.12x = 30,711.06 × 12,711
  4. Step 4: Simplify right side
    20,448.12x = 390,368,283.66
  5. Step 5: Solve for x
    x = 390,368,283.66/20,448.12
  6. Step 6: Final answer
    x = 19,090.67

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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.