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Finding the Fourth Proportional to 6,434, 9,651.76 and 3,659.12

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Solution

The fourth proportional to 6,434, 9,651.76 and 3,659.12 is: 5,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 9,651.76 = 3,659.12 : x
  2. Step 2: Convert to fraction form
    6,434/9,651.76 = 3,659.12/x
  3. Step 3: Cross multiply
    6,434x = 9,651.76 × 3,659.12
  4. Step 4: Simplify right side
    6,434x = 35,316,948.05
  5. Step 5: Solve for x
    x = 35,316,948.05/6,434
  6. Step 6: Final answer
    x = 5,489.11

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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.