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Finding the Fourth Proportional to 18,051.63, 27,078 and 4,904.28

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Solution

The fourth proportional to 18,051.63, 27,078 and 4,904.28 is: 7,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,051.63 : 27,078 = 4,904.28 : x
  2. Step 2: Convert to fraction form
    18,051.63/27,078 = 4,904.28/x
  3. Step 3: Cross multiply
    18,051.63x = 27,078 × 4,904.28
  4. Step 4: Simplify right side
    18,051.63x = 132,798,093.84
  5. Step 5: Solve for x
    x = 132,798,093.84/18,051.63
  6. Step 6: Final answer
    x = 7,356.57

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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.