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Finding the Fourth Proportional to 6,645.66, 9,971.37 and 3,564.06

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Solution

The fourth proportional to 6,645.66, 9,971.37 and 3,564.06 is: 5,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.66 : 9,971.37 = 3,564.06 : x
  2. Step 2: Convert to fraction form
    6,645.66/9,971.37 = 3,564.06/x
  3. Step 3: Cross multiply
    6,645.66x = 9,971.37 × 3,564.06
  4. Step 4: Simplify right side
    6,645.66x = 35,538,560.96
  5. Step 5: Solve for x
    x = 35,538,560.96/6,645.66
  6. Step 6: Final answer
    x = 5,347.63

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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.