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Finding the Fourth Proportional to 6,401, 9,602.38 and 2,240

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Solution

The fourth proportional to 6,401, 9,602.38 and 2,240 is: 3,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401 : 9,602.38 = 2,240 : x
  2. Step 2: Convert to fraction form
    6,401/9,602.38 = 2,240/x
  3. Step 3: Cross multiply
    6,401x = 9,602.38 × 2,240
  4. Step 4: Simplify right side
    6,401x = 21,509,331.20
  5. Step 5: Solve for x
    x = 21,509,331.20/6,401
  6. Step 6: Final answer
    x = 3,360.31

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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.