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Finding the Fourth Proportional to 21,707.66, 32,555 and 9,227.64

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Solution

The fourth proportional to 21,707.66, 32,555 and 9,227.64 is: 13,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.66 : 32,555 = 9,227.64 : x
  2. Step 2: Convert to fraction form
    21,707.66/32,555 = 9,227.64/x
  3. Step 3: Cross multiply
    21,707.66x = 32,555 × 9,227.64
  4. Step 4: Simplify right side
    21,707.66x = 300,405,820.20
  5. Step 5: Solve for x
    x = 300,405,820.20/21,707.66
  6. Step 6: Final answer
    x = 13,838.70

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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.