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Finding the Fourth Proportional to 7,116.84, 9,821.88 and 3,930.80

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Solution

The fourth proportional to 7,116.84, 9,821.88 and 3,930.80 is: 5,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.84 : 9,821.88 = 3,930.80 : x
  2. Step 2: Convert to fraction form
    7,116.84/9,821.88 = 3,930.80/x
  3. Step 3: Cross multiply
    7,116.84x = 9,821.88 × 3,930.80
  4. Step 4: Simplify right side
    7,116.84x = 38,607,796.79
  5. Step 5: Solve for x
    x = 38,607,796.79/7,116.84
  6. Step 6: Final answer
    x = 5,424.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.