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Finding the Fourth Proportional to 20,750.50, 31,133.88 and 7,604.20

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Solution

The fourth proportional to 20,750.50, 31,133.88 and 7,604.20 is: 11,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.50 : 31,133.88 = 7,604.20 : x
  2. Step 2: Convert to fraction form
    20,750.50/31,133.88 = 7,604.20/x
  3. Step 3: Cross multiply
    20,750.50x = 31,133.88 × 7,604.20
  4. Step 4: Simplify right side
    20,750.50x = 236,748,250.30
  5. Step 5: Solve for x
    x = 236,748,250.30/20,750.50
  6. Step 6: Final answer
    x = 11,409.28

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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.