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Finding the Fourth Proportional to 14,390.51, 21,580.09 and 6,992.78

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Solution

The fourth proportional to 14,390.51, 21,580.09 and 6,992.78 is: 10,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390.51 : 21,580.09 = 6,992.78 : x
  2. Step 2: Convert to fraction form
    14,390.51/21,580.09 = 6,992.78/x
  3. Step 3: Cross multiply
    14,390.51x = 21,580.09 × 6,992.78
  4. Step 4: Simplify right side
    14,390.51x = 150,904,821.75
  5. Step 5: Solve for x
    x = 150,904,821.75/14,390.51
  6. Step 6: Final answer
    x = 10,486.41

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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.