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Finding the Fourth Proportional to 15,844.72, 21,965.74 and 15,002

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Solution

The fourth proportional to 15,844.72, 21,965.74 and 15,002 is: 20,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844.72 : 21,965.74 = 15,002 : x
  2. Step 2: Convert to fraction form
    15,844.72/21,965.74 = 15,002/x
  3. Step 3: Cross multiply
    15,844.72x = 21,965.74 × 15,002
  4. Step 4: Simplify right side
    15,844.72x = 329,530,031.48
  5. Step 5: Solve for x
    x = 329,530,031.48/15,844.72
  6. Step 6: Final answer
    x = 20,797.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.