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Finding the Fourth Proportional to 6,288.41, 9,435.05 and 1,905.91

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Solution

The fourth proportional to 6,288.41, 9,435.05 and 1,905.91 is: 2,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.41 : 9,435.05 = 1,905.91 : x
  2. Step 2: Convert to fraction form
    6,288.41/9,435.05 = 1,905.91/x
  3. Step 3: Cross multiply
    6,288.41x = 9,435.05 × 1,905.91
  4. Step 4: Simplify right side
    6,288.41x = 17,982,356.15
  5. Step 5: Solve for x
    x = 17,982,356.15/6,288.41
  6. Step 6: Final answer
    x = 2,859.60

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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.