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Finding the Fourth Proportional to 20,458.16, 30,672.60 and 8,765

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Solution

The fourth proportional to 20,458.16, 30,672.60 and 8,765 is: 13,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.16 : 30,672.60 = 8,765 : x
  2. Step 2: Convert to fraction form
    20,458.16/30,672.60 = 8,765/x
  3. Step 3: Cross multiply
    20,458.16x = 30,672.60 × 8,765
  4. Step 4: Simplify right side
    20,458.16x = 268,845,339
  5. Step 5: Solve for x
    x = 268,845,339/20,458.16
  6. Step 6: Final answer
    x = 13,141.23

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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.