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Finding the Fourth Proportional to 20,851.41, 31,277.27 and 7,000.41

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Solution

The fourth proportional to 20,851.41, 31,277.27 and 7,000.41 is: 10,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.41 : 31,277.27 = 7,000.41 : x
  2. Step 2: Convert to fraction form
    20,851.41/31,277.27 = 7,000.41/x
  3. Step 3: Cross multiply
    20,851.41x = 31,277.27 × 7,000.41
  4. Step 4: Simplify right side
    20,851.41x = 218,953,678.68
  5. Step 5: Solve for x
    x = 218,953,678.68/20,851.41
  6. Step 6: Final answer
    x = 10,500.67

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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.