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Finding the Fourth Proportional to 6,415.66, 9,606.48 and 3,638.17

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Solution

The fourth proportional to 6,415.66, 9,606.48 and 3,638.17 is: 5,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.66 : 9,606.48 = 3,638.17 : x
  2. Step 2: Convert to fraction form
    6,415.66/9,606.48 = 3,638.17/x
  3. Step 3: Cross multiply
    6,415.66x = 9,606.48 × 3,638.17
  4. Step 4: Simplify right side
    6,415.66x = 34,950,007.34
  5. Step 5: Solve for x
    x = 34,950,007.34/6,415.66
  6. Step 6: Final answer
    x = 5,447.61

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1.5x scale

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.