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Finding the Fourth Proportional to 10,531.67, 14,533.61 and 5,815.85

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Solution

The fourth proportional to 10,531.67, 14,533.61 and 5,815.85 is: 8,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.67 : 14,533.61 = 5,815.85 : x
  2. Step 2: Convert to fraction form
    10,531.67/14,533.61 = 5,815.85/x
  3. Step 3: Cross multiply
    10,531.67x = 14,533.61 × 5,815.85
  4. Step 4: Simplify right side
    10,531.67x = 84,525,193.97
  5. Step 5: Solve for x
    x = 84,525,193.97/10,531.67
  6. Step 6: Final answer
    x = 8,025.81

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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.