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Finding the Fourth Proportional to 25,666, 35,419.08 and 13,890

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Solution

The fourth proportional to 25,666, 35,419.08 and 13,890 is: 19,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666 : 35,419.08 = 13,890 : x
  2. Step 2: Convert to fraction form
    25,666/35,419.08 = 13,890/x
  3. Step 3: Cross multiply
    25,666x = 35,419.08 × 13,890
  4. Step 4: Simplify right side
    25,666x = 491,971,021.20
  5. Step 5: Solve for x
    x = 491,971,021.20/25,666
  6. Step 6: Final answer
    x = 19,168.20

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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.