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Finding the Fourth Proportional to 38,506.88, 57,722.72 and 18,784.64

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Solution

The fourth proportional to 38,506.88, 57,722.72 and 18,784.64 is: 28,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.88 : 57,722.72 = 18,784.64 : x
  2. Step 2: Convert to fraction form
    38,506.88/57,722.72 = 18,784.64/x
  3. Step 3: Cross multiply
    38,506.88x = 57,722.72 × 18,784.64
  4. Step 4: Simplify right side
    38,506.88x = 1,084,300,515.02
  5. Step 5: Solve for x
    x = 1,084,300,515.02/38,506.88
  6. Step 6: Final answer
    x = 28,158.62

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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.