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Finding the Fourth Proportional to 9,211.80, 13,821.82 and 4,828.24

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Solution

The fourth proportional to 9,211.80, 13,821.82 and 4,828.24 is: 7,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.80 : 13,821.82 = 4,828.24 : x
  2. Step 2: Convert to fraction form
    9,211.80/13,821.82 = 4,828.24/x
  3. Step 3: Cross multiply
    9,211.80x = 13,821.82 × 4,828.24
  4. Step 4: Simplify right side
    9,211.80x = 66,735,064.20
  5. Step 5: Solve for x
    x = 66,735,064.20/9,211.80
  6. Step 6: Final answer
    x = 7,244.52

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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.