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Finding the Fourth Proportional to 25,750, 35,530.89 and 14,419.99

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Solution

The fourth proportional to 25,750, 35,530.89 and 14,419.99 is: 19,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750 : 35,530.89 = 14,419.99 : x
  2. Step 2: Convert to fraction form
    25,750/35,530.89 = 14,419.99/x
  3. Step 3: Cross multiply
    25,750x = 35,530.89 × 14,419.99
  4. Step 4: Simplify right side
    25,750x = 512,355,078.49
  5. Step 5: Solve for x
    x = 512,355,078.49/25,750
  6. Step 6: Final answer
    x = 19,897.28

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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.