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Finding the Fourth Proportional to 15,882.78, 23,826.58 and 4,788.02

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Solution

The fourth proportional to 15,882.78, 23,826.58 and 4,788.02 is: 7,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.78 : 23,826.58 = 4,788.02 : x
  2. Step 2: Convert to fraction form
    15,882.78/23,826.58 = 4,788.02/x
  3. Step 3: Cross multiply
    15,882.78x = 23,826.58 × 4,788.02
  4. Step 4: Simplify right side
    15,882.78x = 114,082,141.57
  5. Step 5: Solve for x
    x = 114,082,141.57/15,882.78
  6. Step 6: Final answer
    x = 7,182.76

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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.