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Finding the Fourth Proportional to 5,141.58, 7,712.36 and 1,854.62

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Solution

The fourth proportional to 5,141.58, 7,712.36 and 1,854.62 is: 2,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.58 : 7,712.36 = 1,854.62 : x
  2. Step 2: Convert to fraction form
    5,141.58/7,712.36 = 1,854.62/x
  3. Step 3: Cross multiply
    5,141.58x = 7,712.36 × 1,854.62
  4. Step 4: Simplify right side
    5,141.58x = 14,303,517.27
  5. Step 5: Solve for x
    x = 14,303,517.27/5,141.58
  6. Step 6: Final answer
    x = 2,781.93

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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.