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Finding the Fourth Proportional to 25,670.40, 38,505.06 and 11,819.40

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Solution

The fourth proportional to 25,670.40, 38,505.06 and 11,819.40 is: 17,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.40 : 38,505.06 = 11,819.40 : x
  2. Step 2: Convert to fraction form
    25,670.40/38,505.06 = 11,819.40/x
  3. Step 3: Cross multiply
    25,670.40x = 38,505.06 × 11,819.40
  4. Step 4: Simplify right side
    25,670.40x = 455,106,706.16
  5. Step 5: Solve for x
    x = 455,106,706.16/25,670.40
  6. Step 6: Final answer
    x = 17,728.85

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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.