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Finding the Fourth Proportional to 38,521.80, 57,728.70 and 30,637.80

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Solution

The fourth proportional to 38,521.80, 57,728.70 and 30,637.80 is: 45,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.80 : 57,728.70 = 30,637.80 : x
  2. Step 2: Convert to fraction form
    38,521.80/57,728.70 = 30,637.80/x
  3. Step 3: Cross multiply
    38,521.80x = 57,728.70 × 30,637.80
  4. Step 4: Simplify right side
    38,521.80x = 1,768,680,364.86
  5. Step 5: Solve for x
    x = 1,768,680,364.86/38,521.80
  6. Step 6: Final answer
    x = 45,913.75

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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.