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Finding the Fourth Proportional to 25,894.88, 35,741.46 and 15,287.84

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Solution

The fourth proportional to 25,894.88, 35,741.46 and 15,287.84 is: 21,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.88 : 35,741.46 = 15,287.84 : x
  2. Step 2: Convert to fraction form
    25,894.88/35,741.46 = 15,287.84/x
  3. Step 3: Cross multiply
    25,894.88x = 35,741.46 × 15,287.84
  4. Step 4: Simplify right side
    25,894.88x = 546,409,721.85
  5. Step 5: Solve for x
    x = 546,409,721.85/25,894.88
  6. Step 6: Final answer
    x = 21,101.07

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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.