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Finding the Fourth Proportional to 22,288.50, 30,758.13 and 12,858.48

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Solution

The fourth proportional to 22,288.50, 30,758.13 and 12,858.48 is: 17,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.50 : 30,758.13 = 12,858.48 : x
  2. Step 2: Convert to fraction form
    22,288.50/30,758.13 = 12,858.48/x
  3. Step 3: Cross multiply
    22,288.50x = 30,758.13 × 12,858.48
  4. Step 4: Simplify right side
    22,288.50x = 395,502,799.44
  5. Step 5: Solve for x
    x = 395,502,799.44/22,288.50
  6. Step 6: Final answer
    x = 17,744.70

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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.