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Finding the Fourth Proportional to 20,014.56, 30,024 and 8,321.28

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Solution

The fourth proportional to 20,014.56, 30,024 and 8,321.28 is: 12,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,014.56 : 30,024 = 8,321.28 : x
  2. Step 2: Convert to fraction form
    20,014.56/30,024 = 8,321.28/x
  3. Step 3: Cross multiply
    20,014.56x = 30,024 × 8,321.28
  4. Step 4: Simplify right side
    20,014.56x = 249,838,110.72
  5. Step 5: Solve for x
    x = 249,838,110.72/20,014.56
  6. Step 6: Final answer
    x = 12,482.82

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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.