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Finding the Fourth Proportional to 21,073.98, 31,615.68 and 7,926.48

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Solution

The fourth proportional to 21,073.98, 31,615.68 and 7,926.48 is: 11,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073.98 : 31,615.68 = 7,926.48 : x
  2. Step 2: Convert to fraction form
    21,073.98/31,615.68 = 7,926.48/x
  3. Step 3: Cross multiply
    21,073.98x = 31,615.68 × 7,926.48
  4. Step 4: Simplify right side
    21,073.98x = 250,601,055.21
  5. Step 5: Solve for x
    x = 250,601,055.21/21,073.98
  6. Step 6: Final answer
    x = 11,891.49

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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.