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Finding the Fourth Proportional to 13,999.32, 20,980.08 and 7,759.08

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Solution

The fourth proportional to 13,999.32, 20,980.08 and 7,759.08 is: 11,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.32 : 20,980.08 = 7,759.08 : x
  2. Step 2: Convert to fraction form
    13,999.32/20,980.08 = 7,759.08/x
  3. Step 3: Cross multiply
    13,999.32x = 20,980.08 × 7,759.08
  4. Step 4: Simplify right side
    13,999.32x = 162,786,119.13
  5. Step 5: Solve for x
    x = 162,786,119.13/13,999.32
  6. Step 6: Final answer
    x = 11,628.14

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1.5x scale

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.