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Finding the Fourth Proportional to 11,756.15, 17,611.14 and 6,815.40

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Solution

The fourth proportional to 11,756.15, 17,611.14 and 6,815.40 is: 10,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.15 : 17,611.14 = 6,815.40 : x
  2. Step 2: Convert to fraction form
    11,756.15/17,611.14 = 6,815.40/x
  3. Step 3: Cross multiply
    11,756.15x = 17,611.14 × 6,815.40
  4. Step 4: Simplify right side
    11,756.15x = 120,026,963.56
  5. Step 5: Solve for x
    x = 120,026,963.56/11,756.15
  6. Step 6: Final answer
    x = 10,209.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.