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Finding the Fourth Proportional to 15,102.81, 20,843.51 and 9,137.77

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Solution

The fourth proportional to 15,102.81, 20,843.51 and 9,137.77 is: 12,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.81 : 20,843.51 = 9,137.77 : x
  2. Step 2: Convert to fraction form
    15,102.81/20,843.51 = 9,137.77/x
  3. Step 3: Cross multiply
    15,102.81x = 20,843.51 × 9,137.77
  4. Step 4: Simplify right side
    15,102.81x = 190,463,153.98
  5. Step 5: Solve for x
    x = 190,463,153.98/15,102.81
  6. Step 6: Final answer
    x = 12,611.11

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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.