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Finding the Fourth Proportional to 18,038, 27,068.07 and 7,649.75

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Solution

The fourth proportional to 18,038, 27,068.07 and 7,649.75 is: 11,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,038 : 27,068.07 = 7,649.75 : x
  2. Step 2: Convert to fraction form
    18,038/27,068.07 = 7,649.75/x
  3. Step 3: Cross multiply
    18,038x = 27,068.07 × 7,649.75
  4. Step 4: Simplify right side
    18,038x = 207,063,968.48
  5. Step 5: Solve for x
    x = 207,063,968.48/18,038
  6. Step 6: Final answer
    x = 11,479.32

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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.