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Finding the Fourth Proportional to 6,604.64, 9,926.40 and 4,310.72

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Solution

The fourth proportional to 6,604.64, 9,926.40 and 4,310.72 is: 6,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.64 : 9,926.40 = 4,310.72 : x
  2. Step 2: Convert to fraction form
    6,604.64/9,926.40 = 4,310.72/x
  3. Step 3: Cross multiply
    6,604.64x = 9,926.40 × 4,310.72
  4. Step 4: Simplify right side
    6,604.64x = 42,789,931.01
  5. Step 5: Solve for x
    x = 42,789,931.01/6,604.64
  6. Step 6: Final answer
    x = 6,478.77

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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.