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Finding the Fourth Proportional to 6,415.04, 9,619.12 and 3,293.76

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Solution

The fourth proportional to 6,415.04, 9,619.12 and 3,293.76 is: 4,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.04 : 9,619.12 = 3,293.76 : x
  2. Step 2: Convert to fraction form
    6,415.04/9,619.12 = 3,293.76/x
  3. Step 3: Cross multiply
    6,415.04x = 9,619.12 × 3,293.76
  4. Step 4: Simplify right side
    6,415.04x = 31,683,072.69
  5. Step 5: Solve for x
    x = 31,683,072.69/6,415.04
  6. Step 6: Final answer
    x = 4,938.87

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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.