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Finding the Fourth Proportional to 28,014.82, 38,662.86 and 15,442

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Solution

The fourth proportional to 28,014.82, 38,662.86 and 15,442 is: 21,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,014.82 : 38,662.86 = 15,442 : x
  2. Step 2: Convert to fraction form
    28,014.82/38,662.86 = 15,442/x
  3. Step 3: Cross multiply
    28,014.82x = 38,662.86 × 15,442
  4. Step 4: Simplify right side
    28,014.82x = 597,031,884.12
  5. Step 5: Solve for x
    x = 597,031,884.12/28,014.82
  6. Step 6: Final answer
    x = 21,311.29

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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.