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Finding the Fourth Proportional to 25,956, 35,820 and 14,625.36

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Solution

The fourth proportional to 25,956, 35,820 and 14,625.36 is: 20,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,956 : 35,820 = 14,625.36 : x
  2. Step 2: Convert to fraction form
    25,956/35,820 = 14,625.36/x
  3. Step 3: Cross multiply
    25,956x = 35,820 × 14,625.36
  4. Step 4: Simplify right side
    25,956x = 523,880,395.20
  5. Step 5: Solve for x
    x = 523,880,395.20/25,956
  6. Step 6: Final answer
    x = 20,183.40

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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.