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Finding the Fourth Proportional to 5,214.66, 7,821.18 and 1,516.13

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Solution

The fourth proportional to 5,214.66, 7,821.18 and 1,516.13 is: 2,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.66 : 7,821.18 = 1,516.13 : x
  2. Step 2: Convert to fraction form
    5,214.66/7,821.18 = 1,516.13/x
  3. Step 3: Cross multiply
    5,214.66x = 7,821.18 × 1,516.13
  4. Step 4: Simplify right side
    5,214.66x = 11,857,886.53
  5. Step 5: Solve for x
    x = 11,857,886.53/5,214.66
  6. Step 6: Final answer
    x = 2,273.95

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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.