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Finding the Fourth Proportional to 11,978.42, 17,967.63 and 4,585.14

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Solution

The fourth proportional to 11,978.42, 17,967.63 and 4,585.14 is: 6,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.42 : 17,967.63 = 4,585.14 : x
  2. Step 2: Convert to fraction form
    11,978.42/17,967.63 = 4,585.14/x
  3. Step 3: Cross multiply
    11,978.42x = 17,967.63 × 4,585.14
  4. Step 4: Simplify right side
    11,978.42x = 82,384,099.02
  5. Step 5: Solve for x
    x = 82,384,099.02/11,978.42
  6. Step 6: Final answer
    x = 6,877.71

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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.