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Finding the Fourth Proportional to 13,146, 19,719.14 and 3,912

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Solution

The fourth proportional to 13,146, 19,719.14 and 3,912 is: 5,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146 : 19,719.14 = 3,912 : x
  2. Step 2: Convert to fraction form
    13,146/19,719.14 = 3,912/x
  3. Step 3: Cross multiply
    13,146x = 19,719.14 × 3,912
  4. Step 4: Simplify right side
    13,146x = 77,141,256.12
  5. Step 5: Solve for x
    x = 77,141,256.12/13,146
  6. Step 6: Final answer
    x = 5,868.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.