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Finding the Fourth Proportional to 21,974.39, 32,955.05 and 9,491.48

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Solution

The fourth proportional to 21,974.39, 32,955.05 and 9,491.48 is: 14,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.39 : 32,955.05 = 9,491.48 : x
  2. Step 2: Convert to fraction form
    21,974.39/32,955.05 = 9,491.48/x
  3. Step 3: Cross multiply
    21,974.39x = 32,955.05 × 9,491.48
  4. Step 4: Simplify right side
    21,974.39x = 312,792,180.51
  5. Step 5: Solve for x
    x = 312,792,180.51/21,974.39
  6. Step 6: Final answer
    x = 14,234.40

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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.