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Finding the Fourth Proportional to 21,146.80, 31,722.36 and 7,294

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Solution

The fourth proportional to 21,146.80, 31,722.36 and 7,294 is: 10,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,146.80 : 31,722.36 = 7,294 : x
  2. Step 2: Convert to fraction form
    21,146.80/31,722.36 = 7,294/x
  3. Step 3: Cross multiply
    21,146.80x = 31,722.36 × 7,294
  4. Step 4: Simplify right side
    21,146.80x = 231,382,893.84
  5. Step 5: Solve for x
    x = 231,382,893.84/21,146.80
  6. Step 6: Final answer
    x = 10,941.75

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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.