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Finding the Fourth Proportional to 9,762.21, 13,471.77 and 5,285.85

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Solution

The fourth proportional to 9,762.21, 13,471.77 and 5,285.85 is: 7,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.21 : 13,471.77 = 5,285.85 : x
  2. Step 2: Convert to fraction form
    9,762.21/13,471.77 = 5,285.85/x
  3. Step 3: Cross multiply
    9,762.21x = 13,471.77 × 5,285.85
  4. Step 4: Simplify right side
    9,762.21x = 71,209,755.45
  5. Step 5: Solve for x
    x = 71,209,755.45/9,762.21
  6. Step 6: Final answer
    x = 7,294.43

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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.