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Finding the Fourth Proportional to 9,109.50, 13,670.54 and 5,991

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Solution

The fourth proportional to 9,109.50, 13,670.54 and 5,991 is: 8,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.50 : 13,670.54 = 5,991 : x
  2. Step 2: Convert to fraction form
    9,109.50/13,670.54 = 5,991/x
  3. Step 3: Cross multiply
    9,109.50x = 13,670.54 × 5,991
  4. Step 4: Simplify right side
    9,109.50x = 81,900,205.14
  5. Step 5: Solve for x
    x = 81,900,205.14/9,109.50
  6. Step 6: Final answer
    x = 8,990.64

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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.