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Finding the Fourth Proportional to 25,381.85, 38,077.63 and 7,848.59

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Solution

The fourth proportional to 25,381.85, 38,077.63 and 7,848.59 is: 11,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,381.85 : 38,077.63 = 7,848.59 : x
  2. Step 2: Convert to fraction form
    25,381.85/38,077.63 = 7,848.59/x
  3. Step 3: Cross multiply
    25,381.85x = 38,077.63 × 7,848.59
  4. Step 4: Simplify right side
    25,381.85x = 298,855,496.03
  5. Step 5: Solve for x
    x = 298,855,496.03/25,381.85
  6. Step 6: Final answer
    x = 11,774.38

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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.