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Finding the Fourth Proportional to 10,351.85, 14,285.78 and 5,636.13

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Solution

The fourth proportional to 10,351.85, 14,285.78 and 5,636.13 is: 7,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.85 : 14,285.78 = 5,636.13 : x
  2. Step 2: Convert to fraction form
    10,351.85/14,285.78 = 5,636.13/x
  3. Step 3: Cross multiply
    10,351.85x = 14,285.78 × 5,636.13
  4. Step 4: Simplify right side
    10,351.85x = 80,516,485.05
  5. Step 5: Solve for x
    x = 80,516,485.05/10,351.85
  6. Step 6: Final answer
    x = 7,777.98

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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.