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Finding the Fourth Proportional to 7,775.32, 10,699.68 and 6,892.96

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Solution

The fourth proportional to 7,775.32, 10,699.68 and 6,892.96 is: 9,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.32 : 10,699.68 = 6,892.96 : x
  2. Step 2: Convert to fraction form
    7,775.32/10,699.68 = 6,892.96/x
  3. Step 3: Cross multiply
    7,775.32x = 10,699.68 × 6,892.96
  4. Step 4: Simplify right side
    7,775.32x = 73,752,466.25
  5. Step 5: Solve for x
    x = 73,752,466.25/7,775.32
  6. Step 6: Final answer
    x = 9,485.46

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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.