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Finding the Fourth Proportional to 28,007, 38,650.74 and 15,431.48

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Solution

The fourth proportional to 28,007, 38,650.74 and 15,431.48 is: 21,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,007 : 38,650.74 = 15,431.48 : x
  2. Step 2: Convert to fraction form
    28,007/38,650.74 = 15,431.48/x
  3. Step 3: Cross multiply
    28,007x = 38,650.74 × 15,431.48
  4. Step 4: Simplify right side
    28,007x = 596,438,121.30
  5. Step 5: Solve for x
    x = 596,438,121.30/28,007
  6. Step 6: Final answer
    x = 21,296.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.