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Finding the Fourth Proportional to 6,665.64, 9,976.50 and 5,936.64

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Solution

The fourth proportional to 6,665.64, 9,976.50 and 5,936.64 is: 8,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.64 : 9,976.50 = 5,936.64 : x
  2. Step 2: Convert to fraction form
    6,665.64/9,976.50 = 5,936.64/x
  3. Step 3: Cross multiply
    6,665.64x = 9,976.50 × 5,936.64
  4. Step 4: Simplify right side
    6,665.64x = 59,226,888.96
  5. Step 5: Solve for x
    x = 59,226,888.96/6,665.64
  6. Step 6: Final answer
    x = 8,885.40

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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.