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Finding the Fourth Proportional to 10,820.87, 14,932.80 and 5,975.60

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Solution

The fourth proportional to 10,820.87, 14,932.80 and 5,975.60 is: 8,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.87 : 14,932.80 = 5,975.60 : x
  2. Step 2: Convert to fraction form
    10,820.87/14,932.80 = 5,975.60/x
  3. Step 3: Cross multiply
    10,820.87x = 14,932.80 × 5,975.60
  4. Step 4: Simplify right side
    10,820.87x = 89,232,477.01
  5. Step 5: Solve for x
    x = 89,232,477.01/10,820.87
  6. Step 6: Final answer
    x = 8,246.33

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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.