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Finding the Fourth Proportional to 10,562.88, 14,576.80 and 5,847.60

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Solution

The fourth proportional to 10,562.88, 14,576.80 and 5,847.60 is: 8,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.88 : 14,576.80 = 5,847.60 : x
  2. Step 2: Convert to fraction form
    10,562.88/14,576.80 = 5,847.60/x
  3. Step 3: Cross multiply
    10,562.88x = 14,576.80 × 5,847.60
  4. Step 4: Simplify right side
    10,562.88x = 85,239,295.68
  5. Step 5: Solve for x
    x = 85,239,295.68/10,562.88
  6. Step 6: Final answer
    x = 8,069.70

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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.