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Finding the Fourth Proportional to 25,700.82, 38,555.27 and 8,174.58

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Solution

The fourth proportional to 25,700.82, 38,555.27 and 8,174.58 is: 12,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.82 : 38,555.27 = 8,174.58 : x
  2. Step 2: Convert to fraction form
    25,700.82/38,555.27 = 8,174.58/x
  3. Step 3: Cross multiply
    25,700.82x = 38,555.27 × 8,174.58
  4. Step 4: Simplify right side
    25,700.82x = 315,173,139.04
  5. Step 5: Solve for x
    x = 315,173,139.04/25,700.82
  6. Step 6: Final answer
    x = 12,263.15

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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.