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Finding the Fourth Proportional to 10,699.38, 14,764.86 and 5,919.50

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Solution

The fourth proportional to 10,699.38, 14,764.86 and 5,919.50 is: 8,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.38 : 14,764.86 = 5,919.50 : x
  2. Step 2: Convert to fraction form
    10,699.38/14,764.86 = 5,919.50/x
  3. Step 3: Cross multiply
    10,699.38x = 14,764.86 × 5,919.50
  4. Step 4: Simplify right side
    10,699.38x = 87,400,588.77
  5. Step 5: Solve for x
    x = 87,400,588.77/10,699.38
  6. Step 6: Final answer
    x = 8,168.75

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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.