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Finding the Fourth Proportional to 6,616.40, 9,921.96 and 2,916

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Solution

The fourth proportional to 6,616.40, 9,921.96 and 2,916 is: 4,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.40 : 9,921.96 = 2,916 : x
  2. Step 2: Convert to fraction form
    6,616.40/9,921.96 = 2,916/x
  3. Step 3: Cross multiply
    6,616.40x = 9,921.96 × 2,916
  4. Step 4: Simplify right side
    6,616.40x = 28,932,423.06
  5. Step 5: Solve for x
    x = 28,932,423.06/6,616.40
  6. Step 6: Final answer
    x = 4,372.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.