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Finding the Fourth Proportional to 11,756.40, 17,611.51 and 6,815.65

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Solution

The fourth proportional to 11,756.40, 17,611.51 and 6,815.65 is: 10,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.40 : 17,611.51 = 6,815.65 : x
  2. Step 2: Convert to fraction form
    11,756.40/17,611.51 = 6,815.65/x
  3. Step 3: Cross multiply
    11,756.40x = 17,611.51 × 6,815.65
  4. Step 4: Simplify right side
    11,756.40x = 120,033,888.13
  5. Step 5: Solve for x
    x = 120,033,888.13/11,756.40
  6. Step 6: Final answer
    x = 10,210.09

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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.