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Finding the Fourth Proportional to 6,659.64, 9,964.98 and 4,017.72

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Solution

The fourth proportional to 6,659.64, 9,964.98 and 4,017.72 is: 6,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.64 : 9,964.98 = 4,017.72 : x
  2. Step 2: Convert to fraction form
    6,659.64/9,964.98 = 4,017.72/x
  3. Step 3: Cross multiply
    6,659.64x = 9,964.98 × 4,017.72
  4. Step 4: Simplify right side
    6,659.64x = 40,036,499.45
  5. Step 5: Solve for x
    x = 40,036,499.45/6,659.64
  6. Step 6: Final answer
    x = 6,011.81

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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.