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Finding the Fourth Proportional to 15,137, 20,889.74 and 12,614.90

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Solution

The fourth proportional to 15,137, 20,889.74 and 12,614.90 is: 17,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137 : 20,889.74 = 12,614.90 : x
  2. Step 2: Convert to fraction form
    15,137/20,889.74 = 12,614.90/x
  3. Step 3: Cross multiply
    15,137x = 20,889.74 × 12,614.90
  4. Step 4: Simplify right side
    15,137x = 263,521,981.13
  5. Step 5: Solve for x
    x = 263,521,981.13/15,137
  6. Step 6: Final answer
    x = 17,409.13

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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.