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Finding the Fourth Proportional to 21,251.34, 31,873.86 and 7,211.16

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Solution

The fourth proportional to 21,251.34, 31,873.86 and 7,211.16 is: 10,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.34 : 31,873.86 = 7,211.16 : x
  2. Step 2: Convert to fraction form
    21,251.34/31,873.86 = 7,211.16/x
  3. Step 3: Cross multiply
    21,251.34x = 31,873.86 × 7,211.16
  4. Step 4: Simplify right side
    21,251.34x = 229,847,504.28
  5. Step 5: Solve for x
    x = 229,847,504.28/21,251.34
  6. Step 6: Final answer
    x = 10,815.67

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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.