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Finding the Fourth Proportional to 5,674.10, 7,829.51 and 3,155.71

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Solution

The fourth proportional to 5,674.10, 7,829.51 and 3,155.71 is: 4,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.10 : 7,829.51 = 3,155.71 : x
  2. Step 2: Convert to fraction form
    5,674.10/7,829.51 = 3,155.71/x
  3. Step 3: Cross multiply
    5,674.10x = 7,829.51 × 3,155.71
  4. Step 4: Simplify right side
    5,674.10x = 24,707,651.32
  5. Step 5: Solve for x
    x = 24,707,651.32/5,674.10
  6. Step 6: Final answer
    x = 4,354.47

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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.