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Finding the Fourth Proportional to 15,872.80, 23,780.40 and 9,709.60

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Solution

The fourth proportional to 15,872.80, 23,780.40 and 9,709.60 is: 14,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.80 : 23,780.40 = 9,709.60 : x
  2. Step 2: Convert to fraction form
    15,872.80/23,780.40 = 9,709.60/x
  3. Step 3: Cross multiply
    15,872.80x = 23,780.40 × 9,709.60
  4. Step 4: Simplify right side
    15,872.80x = 230,898,171.84
  5. Step 5: Solve for x
    x = 230,898,171.84/15,872.80
  6. Step 6: Final answer
    x = 14,546.78

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1.5x scale

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.