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Finding the Fourth Proportional to 11,146, 15,381.48 and 6,178

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Solution

The fourth proportional to 11,146, 15,381.48 and 6,178 is: 8,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146 : 15,381.48 = 6,178 : x
  2. Step 2: Convert to fraction form
    11,146/15,381.48 = 6,178/x
  3. Step 3: Cross multiply
    11,146x = 15,381.48 × 6,178
  4. Step 4: Simplify right side
    11,146x = 95,026,783.44
  5. Step 5: Solve for x
    x = 95,026,783.44/11,146
  6. Step 6: Final answer
    x = 8,525.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.