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Finding the Fourth Proportional to 6,419.95, 9,629.89 and 2,037.74

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Solution

The fourth proportional to 6,419.95, 9,629.89 and 2,037.74 is: 3,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.95 : 9,629.89 = 2,037.74 : x
  2. Step 2: Convert to fraction form
    6,419.95/9,629.89 = 2,037.74/x
  3. Step 3: Cross multiply
    6,419.95x = 9,629.89 × 2,037.74
  4. Step 4: Simplify right side
    6,419.95x = 19,623,201.86
  5. Step 5: Solve for x
    x = 19,623,201.86/6,419.95
  6. Step 6: Final answer
    x = 3,056.60

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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.