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Finding the Fourth Proportional to 25,618, 38,431.76 and 8,977.68

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Solution

The fourth proportional to 25,618, 38,431.76 and 8,977.68 is: 13,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,618 : 38,431.76 = 8,977.68 : x
  2. Step 2: Convert to fraction form
    25,618/38,431.76 = 8,977.68/x
  3. Step 3: Cross multiply
    25,618x = 38,431.76 × 8,977.68
  4. Step 4: Simplify right side
    25,618x = 345,028,043.12
  5. Step 5: Solve for x
    x = 345,028,043.12/25,618
  6. Step 6: Final answer
    x = 13,468.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.