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Finding the Fourth Proportional to 15,249.60, 22,912.80 and 9,705.60

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Solution

The fourth proportional to 15,249.60, 22,912.80 and 9,705.60 is: 14,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,249.60 : 22,912.80 = 9,705.60 : x
  2. Step 2: Convert to fraction form
    15,249.60/22,912.80 = 9,705.60/x
  3. Step 3: Cross multiply
    15,249.60x = 22,912.80 × 9,705.60
  4. Step 4: Simplify right side
    15,249.60x = 222,382,471.68
  5. Step 5: Solve for x
    x = 222,382,471.68/15,249.60
  6. Step 6: Final answer
    x = 14,582.84

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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.