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Finding the Fourth Proportional to 22,975.20, 31,705.20 and 13,039.20

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Solution

The fourth proportional to 22,975.20, 31,705.20 and 13,039.20 is: 17,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.20 : 31,705.20 = 13,039.20 : x
  2. Step 2: Convert to fraction form
    22,975.20/31,705.20 = 13,039.20/x
  3. Step 3: Cross multiply
    22,975.20x = 31,705.20 × 13,039.20
  4. Step 4: Simplify right side
    22,975.20x = 413,410,443.84
  5. Step 5: Solve for x
    x = 413,410,443.84/22,975.20
  6. Step 6: Final answer
    x = 17,993.77

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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.