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Finding the Fourth Proportional to 17,746, 26,621.16 and 7,213.80

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Solution

The fourth proportional to 17,746, 26,621.16 and 7,213.80 is: 10,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746 : 26,621.16 = 7,213.80 : x
  2. Step 2: Convert to fraction form
    17,746/26,621.16 = 7,213.80/x
  3. Step 3: Cross multiply
    17,746x = 26,621.16 × 7,213.80
  4. Step 4: Simplify right side
    17,746x = 192,039,724.01
  5. Step 5: Solve for x
    x = 192,039,724.01/17,746
  6. Step 6: Final answer
    x = 10,821.58

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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.