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Finding the Fourth Proportional to 21,874, 30,186.12 and 13,495.36

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Solution

The fourth proportional to 21,874, 30,186.12 and 13,495.36 is: 18,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874 : 30,186.12 = 13,495.36 : x
  2. Step 2: Convert to fraction form
    21,874/30,186.12 = 13,495.36/x
  3. Step 3: Cross multiply
    21,874x = 30,186.12 × 13,495.36
  4. Step 4: Simplify right side
    21,874x = 407,372,556.40
  5. Step 5: Solve for x
    x = 407,372,556.40/21,874
  6. Step 6: Final answer
    x = 18,623.60

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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.