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Finding the Fourth Proportional to 25,493, 35,181.90 and 14,315

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Solution

The fourth proportional to 25,493, 35,181.90 and 14,315 is: 19,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493 : 35,181.90 = 14,315 : x
  2. Step 2: Convert to fraction form
    25,493/35,181.90 = 14,315/x
  3. Step 3: Cross multiply
    25,493x = 35,181.90 × 14,315
  4. Step 4: Simplify right side
    25,493x = 503,628,898.50
  5. Step 5: Solve for x
    x = 503,628,898.50/25,493
  6. Step 6: Final answer
    x = 19,755.58

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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.