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Finding the Fourth Proportional to 25,673, 35,428.74 and 13,897

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Solution

The fourth proportional to 25,673, 35,428.74 and 13,897 is: 19,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673 : 35,428.74 = 13,897 : x
  2. Step 2: Convert to fraction form
    25,673/35,428.74 = 13,897/x
  3. Step 3: Cross multiply
    25,673x = 35,428.74 × 13,897
  4. Step 4: Simplify right side
    25,673x = 492,353,199.78
  5. Step 5: Solve for x
    x = 492,353,199.78/25,673
  6. Step 6: Final answer
    x = 19,177.86

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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.