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Finding the Fourth Proportional to 11,747, 17,623.38 and 4,821.50

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Solution

The fourth proportional to 11,747, 17,623.38 and 4,821.50 is: 7,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747 : 17,623.38 = 4,821.50 : x
  2. Step 2: Convert to fraction form
    11,747/17,623.38 = 4,821.50/x
  3. Step 3: Cross multiply
    11,747x = 17,623.38 × 4,821.50
  4. Step 4: Simplify right side
    11,747x = 84,971,126.67
  5. Step 5: Solve for x
    x = 84,971,126.67/11,747
  6. Step 6: Final answer
    x = 7,233.43

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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.