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Finding the Fourth Proportional to 25,659.72, 35,409 and 14,481

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Solution

The fourth proportional to 25,659.72, 35,409 and 14,481 is: 19,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659.72 : 35,409 = 14,481 : x
  2. Step 2: Convert to fraction form
    25,659.72/35,409 = 14,481/x
  3. Step 3: Cross multiply
    25,659.72x = 35,409 × 14,481
  4. Step 4: Simplify right side
    25,659.72x = 512,757,729
  5. Step 5: Solve for x
    x = 512,757,729/25,659.72
  6. Step 6: Final answer
    x = 19,982.98

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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.