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Finding the Fourth Proportional to 38,290, 57,431.68 and 13,323.60

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Solution

The fourth proportional to 38,290, 57,431.68 and 13,323.60 is: 19,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,290 : 57,431.68 = 13,323.60 : x
  2. Step 2: Convert to fraction form
    38,290/57,431.68 = 13,323.60/x
  3. Step 3: Cross multiply
    38,290x = 57,431.68 × 13,323.60
  4. Step 4: Simplify right side
    38,290x = 765,196,731.65
  5. Step 5: Solve for x
    x = 765,196,731.65/38,290
  6. Step 6: Final answer
    x = 19,984.24

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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.