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Finding the Fourth Proportional to 21,914.25, 32,854.97 and 7,114.34

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Solution

The fourth proportional to 21,914.25, 32,854.97 and 7,114.34 is: 10,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.25 : 32,854.97 = 7,114.34 : x
  2. Step 2: Convert to fraction form
    21,914.25/32,854.97 = 7,114.34/x
  3. Step 3: Cross multiply
    21,914.25x = 32,854.97 × 7,114.34
  4. Step 4: Simplify right side
    21,914.25x = 233,741,227.42
  5. Step 5: Solve for x
    x = 233,741,227.42/21,914.25
  6. Step 6: Final answer
    x = 10,666.18

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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.