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Finding the Fourth Proportional to 7,779.42, 10,744.56 and 5,664.41

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Solution

The fourth proportional to 7,779.42, 10,744.56 and 5,664.41 is: 7,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.42 : 10,744.56 = 5,664.41 : x
  2. Step 2: Convert to fraction form
    7,779.42/10,744.56 = 5,664.41/x
  3. Step 3: Cross multiply
    7,779.42x = 10,744.56 × 5,664.41
  4. Step 4: Simplify right side
    7,779.42x = 60,861,511.06
  5. Step 5: Solve for x
    x = 60,861,511.06/7,779.42
  6. Step 6: Final answer
    x = 7,823.40

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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.