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Finding the Fourth Proportional to 15,872.96, 23,814.20 and 4,780.01

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Solution

The fourth proportional to 15,872.96, 23,814.20 and 4,780.01 is: 7,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.96 : 23,814.20 = 4,780.01 : x
  2. Step 2: Convert to fraction form
    15,872.96/23,814.20 = 4,780.01/x
  3. Step 3: Cross multiply
    15,872.96x = 23,814.20 × 4,780.01
  4. Step 4: Simplify right side
    15,872.96x = 113,832,185.63
  5. Step 5: Solve for x
    x = 113,832,185.63/15,872.96
  6. Step 6: Final answer
    x = 7,171.45

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