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Finding the Fourth Proportional to 10,558.56, 15,840.24 and 5,625.60

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Solution

The fourth proportional to 10,558.56, 15,840.24 and 5,625.60 is: 8,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.56 : 15,840.24 = 5,625.60 : x
  2. Step 2: Convert to fraction form
    10,558.56/15,840.24 = 5,625.60/x
  3. Step 3: Cross multiply
    10,558.56x = 15,840.24 × 5,625.60
  4. Step 4: Simplify right side
    10,558.56x = 89,110,854.14
  5. Step 5: Solve for x
    x = 89,110,854.14/10,558.56
  6. Step 6: Final answer
    x = 8,439.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.