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Finding the Fourth Proportional to 13,140, 19,709.10 and 3,279.06

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Solution

The fourth proportional to 13,140, 19,709.10 and 3,279.06 is: 4,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140 : 19,709.10 = 3,279.06 : x
  2. Step 2: Convert to fraction form
    13,140/19,709.10 = 3,279.06/x
  3. Step 3: Cross multiply
    13,140x = 19,709.10 × 3,279.06
  4. Step 4: Simplify right side
    13,140x = 64,627,321.45
  5. Step 5: Solve for x
    x = 64,627,321.45/13,140
  6. Step 6: Final answer
    x = 4,918.37

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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.