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Finding the Fourth Proportional to 21,992.01, 30,348.24 and 13,034.20

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Solution

The fourth proportional to 21,992.01, 30,348.24 and 13,034.20 is: 17,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.01 : 30,348.24 = 13,034.20 : x
  2. Step 2: Convert to fraction form
    21,992.01/30,348.24 = 13,034.20/x
  3. Step 3: Cross multiply
    21,992.01x = 30,348.24 × 13,034.20
  4. Step 4: Simplify right side
    21,992.01x = 395,564,848.16
  5. Step 5: Solve for x
    x = 395,564,848.16/21,992.01
  6. Step 6: Final answer
    x = 17,986.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.