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Finding the Fourth Proportional to 9,489.80, 14,232.87 and 2,914.22

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Solution

The fourth proportional to 9,489.80, 14,232.87 and 2,914.22 is: 4,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.80 : 14,232.87 = 2,914.22 : x
  2. Step 2: Convert to fraction form
    9,489.80/14,232.87 = 2,914.22/x
  3. Step 3: Cross multiply
    9,489.80x = 14,232.87 × 2,914.22
  4. Step 4: Simplify right side
    9,489.80x = 41,477,643.25
  5. Step 5: Solve for x
    x = 41,477,643.25/9,489.80
  6. Step 6: Final answer
    x = 4,370.76

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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.