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Finding the Fourth Proportional to 18,124.16, 27,188 and 6,434.64

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Solution

The fourth proportional to 18,124.16, 27,188 and 6,434.64 is: 9,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124.16 : 27,188 = 6,434.64 : x
  2. Step 2: Convert to fraction form
    18,124.16/27,188 = 6,434.64/x
  3. Step 3: Cross multiply
    18,124.16x = 27,188 × 6,434.64
  4. Step 4: Simplify right side
    18,124.16x = 174,944,992.32
  5. Step 5: Solve for x
    x = 174,944,992.32/18,124.16
  6. Step 6: Final answer
    x = 9,652.58

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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.