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Finding the Fourth Proportional to 9,991.10, 14,986.65 and 8,111.90

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Solution

The fourth proportional to 9,991.10, 14,986.65 and 8,111.90 is: 12,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.10 : 14,986.65 = 8,111.90 : x
  2. Step 2: Convert to fraction form
    9,991.10/14,986.65 = 8,111.90/x
  3. Step 3: Cross multiply
    9,991.10x = 14,986.65 × 8,111.90
  4. Step 4: Simplify right side
    9,991.10x = 121,570,206.14
  5. Step 5: Solve for x
    x = 121,570,206.14/9,991.10
  6. Step 6: Final answer
    x = 12,167.85

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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.