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Finding the Fourth Proportional to 22,039, 30,415.44 and 13,657.12

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Solution

The fourth proportional to 22,039, 30,415.44 and 13,657.12 is: 18,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039 : 30,415.44 = 13,657.12 : x
  2. Step 2: Convert to fraction form
    22,039/30,415.44 = 13,657.12/x
  3. Step 3: Cross multiply
    22,039x = 30,415.44 × 13,657.12
  4. Step 4: Simplify right side
    22,039x = 415,387,313.93
  5. Step 5: Solve for x
    x = 415,387,313.93/22,039
  6. Step 6: Final answer
    x = 18,847.83

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1.5x scale

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.