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Finding the Fourth Proportional to 11,379.84, 15,693.75 and 7,800

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Solution

The fourth proportional to 11,379.84, 15,693.75 and 7,800 is: 10,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.84 : 15,693.75 = 7,800 : x
  2. Step 2: Convert to fraction form
    11,379.84/15,693.75 = 7,800/x
  3. Step 3: Cross multiply
    11,379.84x = 15,693.75 × 7,800
  4. Step 4: Simplify right side
    11,379.84x = 122,411,250
  5. Step 5: Solve for x
    x = 122,411,250/11,379.84
  6. Step 6: Final answer
    x = 10,756.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.