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Finding the Fourth Proportional to 7,921.27, 10,930.98 and 4,564.18

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Solution

The fourth proportional to 7,921.27, 10,930.98 and 4,564.18 is: 6,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.27 : 10,930.98 = 4,564.18 : x
  2. Step 2: Convert to fraction form
    7,921.27/10,930.98 = 4,564.18/x
  3. Step 3: Cross multiply
    7,921.27x = 10,930.98 × 4,564.18
  4. Step 4: Simplify right side
    7,921.27x = 49,890,960.30
  5. Step 5: Solve for x
    x = 49,890,960.30/7,921.27
  6. Step 6: Final answer
    x = 6,298.35

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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.