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Finding the Fourth Proportional to 6,400.40, 9,600.70 and 2,652.12

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Solution

The fourth proportional to 6,400.40, 9,600.70 and 2,652.12 is: 3,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.40 : 9,600.70 = 2,652.12 : x
  2. Step 2: Convert to fraction form
    6,400.40/9,600.70 = 2,652.12/x
  3. Step 3: Cross multiply
    6,400.40x = 9,600.70 × 2,652.12
  4. Step 4: Simplify right side
    6,400.40x = 25,462,208.48
  5. Step 5: Solve for x
    x = 25,462,208.48/6,400.40
  6. Step 6: Final answer
    x = 3,978.22

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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.