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Finding the Fourth Proportional to 25,640.64, 38,460.72 and 8,110.48

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Solution

The fourth proportional to 25,640.64, 38,460.72 and 8,110.48 is: 12,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,640.64 : 38,460.72 = 8,110.48 : x
  2. Step 2: Convert to fraction form
    25,640.64/38,460.72 = 8,110.48/x
  3. Step 3: Cross multiply
    25,640.64x = 38,460.72 × 8,110.48
  4. Step 4: Simplify right side
    25,640.64x = 311,934,900.35
  5. Step 5: Solve for x
    x = 311,934,900.35/25,640.64
  6. Step 6: Final answer
    x = 12,165.64

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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.