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Finding the Fourth Proportional to 6,386.96, 9,584.80 and 2,490.96

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Solution

The fourth proportional to 6,386.96, 9,584.80 and 2,490.96 is: 3,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.96 : 9,584.80 = 2,490.96 : x
  2. Step 2: Convert to fraction form
    6,386.96/9,584.80 = 2,490.96/x
  3. Step 3: Cross multiply
    6,386.96x = 9,584.80 × 2,490.96
  4. Step 4: Simplify right side
    6,386.96x = 23,875,353.41
  5. Step 5: Solve for x
    x = 23,875,353.41/6,386.96
  6. Step 6: Final answer
    x = 3,738.14

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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.