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Finding the Fourth Proportional to 21,013.26, 31,523.63 and 6,974.13

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Solution

The fourth proportional to 21,013.26, 31,523.63 and 6,974.13 is: 10,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.26 : 31,523.63 = 6,974.13 : x
  2. Step 2: Convert to fraction form
    21,013.26/31,523.63 = 6,974.13/x
  3. Step 3: Cross multiply
    21,013.26x = 31,523.63 × 6,974.13
  4. Step 4: Simplify right side
    21,013.26x = 219,849,893.69
  5. Step 5: Solve for x
    x = 219,849,893.69/21,013.26
  6. Step 6: Final answer
    x = 10,462.44

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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.