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Finding the Fourth Proportional to 38,409.40, 57,616.80 and 21,777.40

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Solution

The fourth proportional to 38,409.40, 57,616.80 and 21,777.40 is: 32,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.40 : 57,616.80 = 21,777.40 : x
  2. Step 2: Convert to fraction form
    38,409.40/57,616.80 = 21,777.40/x
  3. Step 3: Cross multiply
    38,409.40x = 57,616.80 × 21,777.40
  4. Step 4: Simplify right side
    38,409.40x = 1,254,744,100.32
  5. Step 5: Solve for x
    x = 1,254,744,100.32/38,409.40
  6. Step 6: Final answer
    x = 32,667.63

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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.