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Finding the Fourth Proportional to 10,562.38, 14,562.82 and 6,778.86

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Solution

The fourth proportional to 10,562.38, 14,562.82 and 6,778.86 is: 9,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.38 : 14,562.82 = 6,778.86 : x
  2. Step 2: Convert to fraction form
    10,562.38/14,562.82 = 6,778.86/x
  3. Step 3: Cross multiply
    10,562.38x = 14,562.82 × 6,778.86
  4. Step 4: Simplify right side
    10,562.38x = 98,719,317.99
  5. Step 5: Solve for x
    x = 98,719,317.99/10,562.38
  6. Step 6: Final answer
    x = 9,346.31

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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.