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Finding the Fourth Proportional to 14,549.96, 21,834.50 and 7,980.75

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Solution

The fourth proportional to 14,549.96, 21,834.50 and 7,980.75 is: 11,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.96 : 21,834.50 = 7,980.75 : x
  2. Step 2: Convert to fraction form
    14,549.96/21,834.50 = 7,980.75/x
  3. Step 3: Cross multiply
    14,549.96x = 21,834.50 × 7,980.75
  4. Step 4: Simplify right side
    14,549.96x = 174,255,685.88
  5. Step 5: Solve for x
    x = 174,255,685.88/14,549.96
  6. Step 6: Final answer
    x = 11,976.37

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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.