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Finding the Fourth Proportional to 10,597.36, 15,900.92 and 5,403.60

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Solution

The fourth proportional to 10,597.36, 15,900.92 and 5,403.60 is: 8,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.36 : 15,900.92 = 5,403.60 : x
  2. Step 2: Convert to fraction form
    10,597.36/15,900.92 = 5,403.60/x
  3. Step 3: Cross multiply
    10,597.36x = 15,900.92 × 5,403.60
  4. Step 4: Simplify right side
    10,597.36x = 85,922,211.31
  5. Step 5: Solve for x
    x = 85,922,211.31/10,597.36
  6. Step 6: Final answer
    x = 8,107.89

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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.