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Finding the Fourth Proportional to 21,030.84, 31,546.26 and 7,179.84

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Solution

The fourth proportional to 21,030.84, 31,546.26 and 7,179.84 is: 10,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030.84 : 31,546.26 = 7,179.84 : x
  2. Step 2: Convert to fraction form
    21,030.84/31,546.26 = 7,179.84/x
  3. Step 3: Cross multiply
    21,030.84x = 31,546.26 × 7,179.84
  4. Step 4: Simplify right side
    21,030.84x = 226,497,099.40
  5. Step 5: Solve for x
    x = 226,497,099.40/21,030.84
  6. Step 6: Final answer
    x = 10,769.76

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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.