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Finding the Fourth Proportional to 25,467, 35,145.54 and 14,289

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Solution

The fourth proportional to 25,467, 35,145.54 and 14,289 is: 19,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,467 : 35,145.54 = 14,289 : x
  2. Step 2: Convert to fraction form
    25,467/35,145.54 = 14,289/x
  3. Step 3: Cross multiply
    25,467x = 35,145.54 × 14,289
  4. Step 4: Simplify right side
    25,467x = 502,194,621.06
  5. Step 5: Solve for x
    x = 502,194,621.06/25,467
  6. Step 6: Final answer
    x = 19,719.43

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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.