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Finding the Fourth Proportional to 13,920.37, 20,976.07 and 11,509.21

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Solution

The fourth proportional to 13,920.37, 20,976.07 and 11,509.21 is: 17,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.37 : 20,976.07 = 11,509.21 : x
  2. Step 2: Convert to fraction form
    13,920.37/20,976.07 = 11,509.21/x
  3. Step 3: Cross multiply
    13,920.37x = 20,976.07 × 11,509.21
  4. Step 4: Simplify right side
    13,920.37x = 241,417,832.18
  5. Step 5: Solve for x
    x = 241,417,832.18/13,920.37
  6. Step 6: Final answer
    x = 17,342.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.