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Finding the Fourth Proportional to 14,515, 20,030.86 and 7,891

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Solution

The fourth proportional to 14,515, 20,030.86 and 7,891 is: 10,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515 : 20,030.86 = 7,891 : x
  2. Step 2: Convert to fraction form
    14,515/20,030.86 = 7,891/x
  3. Step 3: Cross multiply
    14,515x = 20,030.86 × 7,891
  4. Step 4: Simplify right side
    14,515x = 158,063,516.26
  5. Step 5: Solve for x
    x = 158,063,516.26/14,515
  6. Step 6: Final answer
    x = 10,889.67

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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.