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Finding the Fourth Proportional to 11,655.65, 17,464.03 and 8,186.69

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Solution

The fourth proportional to 11,655.65, 17,464.03 and 8,186.69 is: 12,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.65 : 17,464.03 = 8,186.69 : x
  2. Step 2: Convert to fraction form
    11,655.65/17,464.03 = 8,186.69/x
  3. Step 3: Cross multiply
    11,655.65x = 17,464.03 × 8,186.69
  4. Step 4: Simplify right side
    11,655.65x = 142,972,599.76
  5. Step 5: Solve for x
    x = 142,972,599.76/11,655.65
  6. Step 6: Final answer
    x = 12,266.38

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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.