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Finding the Fourth Proportional to 18,484, 27,726 and 7,395.64

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Solution

The fourth proportional to 18,484, 27,726 and 7,395.64 is: 11,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,484 : 27,726 = 7,395.64 : x
  2. Step 2: Convert to fraction form
    18,484/27,726 = 7,395.64/x
  3. Step 3: Cross multiply
    18,484x = 27,726 × 7,395.64
  4. Step 4: Simplify right side
    18,484x = 205,051,514.64
  5. Step 5: Solve for x
    x = 205,051,514.64/18,484
  6. Step 6: Final answer
    x = 11,093.46

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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.