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Finding the Fourth Proportional to 7,086.48, 9,779.56 and 4,102.32

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Solution

The fourth proportional to 7,086.48, 9,779.56 and 4,102.32 is: 5,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.48 : 9,779.56 = 4,102.32 : x
  2. Step 2: Convert to fraction form
    7,086.48/9,779.56 = 4,102.32/x
  3. Step 3: Cross multiply
    7,086.48x = 9,779.56 × 4,102.32
  4. Step 4: Simplify right side
    7,086.48x = 40,118,884.58
  5. Step 5: Solve for x
    x = 40,118,884.58/7,086.48
  6. Step 6: Final answer
    x = 5,661.33

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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.