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Finding the Fourth Proportional to 25,460, 35,131.92 and 14,129.12

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Solution

The fourth proportional to 25,460, 35,131.92 and 14,129.12 is: 19,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,460 : 35,131.92 = 14,129.12 : x
  2. Step 2: Convert to fraction form
    25,460/35,131.92 = 14,129.12/x
  3. Step 3: Cross multiply
    25,460x = 35,131.92 × 14,129.12
  4. Step 4: Simplify right side
    25,460x = 496,383,113.51
  5. Step 5: Solve for x
    x = 496,383,113.51/25,460
  6. Step 6: Final answer
    x = 19,496.59

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1.5x scale

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.