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Finding the Fourth Proportional to 25,868, 35,697.84 and 14,690

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Solution

The fourth proportional to 25,868, 35,697.84 and 14,690 is: 20,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,868 : 35,697.84 = 14,690 : x
  2. Step 2: Convert to fraction form
    25,868/35,697.84 = 14,690/x
  3. Step 3: Cross multiply
    25,868x = 35,697.84 × 14,690
  4. Step 4: Simplify right side
    25,868x = 524,401,269.60
  5. Step 5: Solve for x
    x = 524,401,269.60/25,868
  6. Step 6: Final answer
    x = 20,272.20

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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.