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Finding the Fourth Proportional to 8,562.43, 11,814.78 and 5,203.45

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Solution

The fourth proportional to 8,562.43, 11,814.78 and 5,203.45 is: 7,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.43 : 11,814.78 = 5,203.45 : x
  2. Step 2: Convert to fraction form
    8,562.43/11,814.78 = 5,203.45/x
  3. Step 3: Cross multiply
    8,562.43x = 11,814.78 × 5,203.45
  4. Step 4: Simplify right side
    8,562.43x = 61,477,616.99
  5. Step 5: Solve for x
    x = 61,477,616.99/8,562.43
  6. Step 6: Final answer
    x = 7,179.93

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