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Finding the Fourth Proportional to 7,615.56, 11,385.78 and 6,458.46

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Solution

The fourth proportional to 7,615.56, 11,385.78 and 6,458.46 is: 9,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.56 : 11,385.78 = 6,458.46 : x
  2. Step 2: Convert to fraction form
    7,615.56/11,385.78 = 6,458.46/x
  3. Step 3: Cross multiply
    7,615.56x = 11,385.78 × 6,458.46
  4. Step 4: Simplify right side
    7,615.56x = 73,534,604.70
  5. Step 5: Solve for x
    x = 73,534,604.70/7,615.56
  6. Step 6: Final answer
    x = 9,655.84

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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.