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Finding the Fourth Proportional to 25,624.11, 38,441.88 and 7,857.24

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Solution

The fourth proportional to 25,624.11, 38,441.88 and 7,857.24 is: 11,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624.11 : 38,441.88 = 7,857.24 : x
  2. Step 2: Convert to fraction form
    25,624.11/38,441.88 = 7,857.24/x
  3. Step 3: Cross multiply
    25,624.11x = 38,441.88 × 7,857.24
  4. Step 4: Simplify right side
    25,624.11x = 302,047,077.21
  5. Step 5: Solve for x
    x = 302,047,077.21/25,624.11
  6. Step 6: Final answer
    x = 11,787.61

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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.