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Finding the Fourth Proportional to 20,281.88, 30,423 and 7,134.36

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Solution

The fourth proportional to 20,281.88, 30,423 and 7,134.36 is: 10,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.88 : 30,423 = 7,134.36 : x
  2. Step 2: Convert to fraction form
    20,281.88/30,423 = 7,134.36/x
  3. Step 3: Cross multiply
    20,281.88x = 30,423 × 7,134.36
  4. Step 4: Simplify right side
    20,281.88x = 217,048,634.28
  5. Step 5: Solve for x
    x = 217,048,634.28/20,281.88
  6. Step 6: Final answer
    x = 10,701.60

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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.