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Finding the Fourth Proportional to 16,878.95, 25,322.01 and 5,782.65

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Solution

The fourth proportional to 16,878.95, 25,322.01 and 5,782.65 is: 8,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.95 : 25,322.01 = 5,782.65 : x
  2. Step 2: Convert to fraction form
    16,878.95/25,322.01 = 5,782.65/x
  3. Step 3: Cross multiply
    16,878.95x = 25,322.01 × 5,782.65
  4. Step 4: Simplify right side
    16,878.95x = 146,428,321.13
  5. Step 5: Solve for x
    x = 146,428,321.13/16,878.95
  6. Step 6: Final answer
    x = 8,675.20

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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.