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Finding the Fourth Proportional to 6,991, 9,649.74 and 4,507

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Solution

The fourth proportional to 6,991, 9,649.74 and 4,507 is: 6,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991 : 9,649.74 = 4,507 : x
  2. Step 2: Convert to fraction form
    6,991/9,649.74 = 4,507/x
  3. Step 3: Cross multiply
    6,991x = 9,649.74 × 4,507
  4. Step 4: Simplify right side
    6,991x = 43,491,378.18
  5. Step 5: Solve for x
    x = 43,491,378.18/6,991
  6. Step 6: Final answer
    x = 6,221.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.