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Finding the Fourth Proportional to 13,140, 18,128.64 and 7,474.08

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Solution

The fourth proportional to 13,140, 18,128.64 and 7,474.08 is: 10,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140 : 18,128.64 = 7,474.08 : x
  2. Step 2: Convert to fraction form
    13,140/18,128.64 = 7,474.08/x
  3. Step 3: Cross multiply
    13,140x = 18,128.64 × 7,474.08
  4. Step 4: Simplify right side
    13,140x = 135,494,905.65
  5. Step 5: Solve for x
    x = 135,494,905.65/13,140
  6. Step 6: Final answer
    x = 10,311.64

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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.