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Finding the Fourth Proportional to 6,419.09, 9,628 and 3,134.45

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Solution

The fourth proportional to 6,419.09, 9,628 and 3,134.45 is: 4,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.09 : 9,628 = 3,134.45 : x
  2. Step 2: Convert to fraction form
    6,419.09/9,628 = 3,134.45/x
  3. Step 3: Cross multiply
    6,419.09x = 9,628 × 3,134.45
  4. Step 4: Simplify right side
    6,419.09x = 30,178,484.60
  5. Step 5: Solve for x
    x = 30,178,484.60/6,419.09
  6. Step 6: Final answer
    x = 4,701.36

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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.