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Finding the Fourth Proportional to 6,991.68, 10,491.15 and 6,588.30

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Solution

The fourth proportional to 6,991.68, 10,491.15 and 6,588.30 is: 9,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.68 : 10,491.15 = 6,588.30 : x
  2. Step 2: Convert to fraction form
    6,991.68/10,491.15 = 6,588.30/x
  3. Step 3: Cross multiply
    6,991.68x = 10,491.15 × 6,588.30
  4. Step 4: Simplify right side
    6,991.68x = 69,118,843.55
  5. Step 5: Solve for x
    x = 69,118,843.55/6,991.68
  6. Step 6: Final answer
    x = 9,885.87

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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.