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Finding the Fourth Proportional to 21,971.43, 32,953.71 and 7,180.23

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Solution

The fourth proportional to 21,971.43, 32,953.71 and 7,180.23 is: 10,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.43 : 32,953.71 = 7,180.23 : x
  2. Step 2: Convert to fraction form
    21,971.43/32,953.71 = 7,180.23/x
  3. Step 3: Cross multiply
    21,971.43x = 32,953.71 × 7,180.23
  4. Step 4: Simplify right side
    21,971.43x = 236,615,217.15
  5. Step 5: Solve for x
    x = 236,615,217.15/21,971.43
  6. Step 6: Final answer
    x = 10,769.22

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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.