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Finding the Fourth Proportional to 13,146, 18,141.48 and 7,258

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Solution

The fourth proportional to 13,146, 18,141.48 and 7,258 is: 10,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146 : 18,141.48 = 7,258 : x
  2. Step 2: Convert to fraction form
    13,146/18,141.48 = 7,258/x
  3. Step 3: Cross multiply
    13,146x = 18,141.48 × 7,258
  4. Step 4: Simplify right side
    13,146x = 131,670,861.84
  5. Step 5: Solve for x
    x = 131,670,861.84/13,146
  6. Step 6: Final answer
    x = 10,016.04

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Why These Related Problems?

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