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Finding the Fourth Proportional to 15,855.72, 23,785.80 and 5,466.12

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Solution

The fourth proportional to 15,855.72, 23,785.80 and 5,466.12 is: 8,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.72 : 23,785.80 = 5,466.12 : x
  2. Step 2: Convert to fraction form
    15,855.72/23,785.80 = 5,466.12/x
  3. Step 3: Cross multiply
    15,855.72x = 23,785.80 × 5,466.12
  4. Step 4: Simplify right side
    15,855.72x = 130,016,037.10
  5. Step 5: Solve for x
    x = 130,016,037.10/15,855.72
  6. Step 6: Final answer
    x = 8,199.95

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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.