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Finding the Fourth Proportional to 18,428, 27,646.32 and 6,116

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Solution

The fourth proportional to 18,428, 27,646.32 and 6,116 is: 9,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428 : 27,646.32 = 6,116 : x
  2. Step 2: Convert to fraction form
    18,428/27,646.32 = 6,116/x
  3. Step 3: Cross multiply
    18,428x = 27,646.32 × 6,116
  4. Step 4: Simplify right side
    18,428x = 169,084,893.12
  5. Step 5: Solve for x
    x = 169,084,893.12/18,428
  6. Step 6: Final answer
    x = 9,175.43

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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.