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Finding the Fourth Proportional to 21,219.32, 31,829.07 and 7,179.46

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Solution

The fourth proportional to 21,219.32, 31,829.07 and 7,179.46 is: 10,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.32 : 31,829.07 = 7,179.46 : x
  2. Step 2: Convert to fraction form
    21,219.32/31,829.07 = 7,179.46/x
  3. Step 3: Cross multiply
    21,219.32x = 31,829.07 × 7,179.46
  4. Step 4: Simplify right side
    21,219.32x = 228,515,534.90
  5. Step 5: Solve for x
    x = 228,515,534.90/21,219.32
  6. Step 6: Final answer
    x = 10,769.22

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1.5x scale

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.