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Finding the Fourth Proportional to 38,540.80, 57,782.40 and 21,030.40

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Solution

The fourth proportional to 38,540.80, 57,782.40 and 21,030.40 is: 31,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.80 : 57,782.40 = 21,030.40 : x
  2. Step 2: Convert to fraction form
    38,540.80/57,782.40 = 21,030.40/x
  3. Step 3: Cross multiply
    38,540.80x = 57,782.40 × 21,030.40
  4. Step 4: Simplify right side
    38,540.80x = 1,215,186,984.96
  5. Step 5: Solve for x
    x = 1,215,186,984.96/38,540.80
  6. Step 6: Final answer
    x = 31,529.88

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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.